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101220011212020 = 223531751671029953
BaseRepresentation
bin10111000000111100011110…
…110011111111110011110100
3111021101112112121122112111220
4113000330132303333303310
5101231342040332241040
6555135455313030340
730214622144300301
oct2700743663776364
9437345477575456
10101220011212020
112a285190590018
12b429148b553b0
1344630105329bc
141add108d000a8
15ba7e711dd2d0
hex5c0f1ecffcf4

101220011212020 has 96 divisors (see below), whose sum is σ = 284365388579328. Its totient is φ = 26901621153792.

The previous prime is 101220011211989. The next prime is 101220011212051. The reversal of 101220011212020 is 20212110022101.

It is an interprime number because it is at equal distance from previous prime (101220011211989) and next prime (101220011212051).

It is a super-2 number, since 2×1012200112120202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97761364 + ... + 98791316.

It is an arithmetic number, because the mean of its divisors is an integer number (2962139464368).

Almost surely, 2101220011212020 is an apocalyptic number.

101220011212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220011212020 is an abundant number, since it is smaller than the sum of its proper divisors (183145377367308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101220011212020 is a wasteful number, since it uses less digits than its factorization.

101220011212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035449 (or 1035447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101220011212020 its reverse (20212110022101), we get a palindrome (121432121234121).

The spelling of 101220011212020 in words is "one hundred one trillion, two hundred twenty billion, eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 317 634 951 1268 1585 1902 3170 3804 4755 5167 6340 9510 10334 15501 19020 20668 25835 31002 51670 62004 77505 103340 155010 310020 1029953 1637939 2059906 3089859 3275878 4119812 4913817 5149765 6179718 6551756 8189695 9827634 10299530 12359436 15449295 16379390 19655268 20599060 24569085 30898590 32758780 49138170 61797180 98276340 326495101 652990202 979485303 1305980404 1632475505 1958970606 3264951010 3917941212 4897426515 5321767151 6529902020 9794853030 10643534302 15965301453 19589706060 21287068604 26608835755 31930602906 53217671510 63861205812 79826507265 106435343020 159653014530 319306029060 1687000186867 3374000373734 5061000560601 6748000747468 8435000934335 10122001121202 16870001868670 20244002242404 25305002803005 33740003737340 50610005606010 101220011212020