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101121201012020 = 22571017151428643
BaseRepresentation
bin10110111111100000011101…
…010000111111110100110100
3111021001002111100211022000212
4112333200131100333310310
5101223232204424341040
6555022234411324552
730204523425405410
oct2677403520776464
9437032440738025
10101121201012020
112a247295824302
12b411b71750758
1344568c4385b37
141ad8413cb5d40
15ba55db676d65
hex5bf81d43fd34

101121201012020 has 48 divisors (see below), whose sum is σ = 245093762487168. Its totient is φ = 34326857481600.

The previous prime is 101121201012019. The next prime is 101121201012047. The reversal of 101121201012020 is 20210102121101.

It is a super-2 number, since 2×1011212010120202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101121201011986 and 101121201012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3575700182 + ... + 3575728461.

It is an arithmetic number, because the mean of its divisors is an integer number (5106120051816).

Almost surely, 2101121201012020 is an apocalyptic number.

101121201012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121201012020 is an abundant number, since it is smaller than the sum of its proper divisors (143972561475148).

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

101121201012020 is a wasteful number, since it uses less digits than its factorization.

101121201012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151428760 (or 7151428758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101121201012020 its reverse (20210102121101), we get a palindrome (121331303133121).

The spelling of 101121201012020 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 7151428643 14302857286 28605714572 35757143215 50060000501 71514286430 100120001002 143028572860 200240002004 250300002505 500600005010 722294292943 1001200010020 1444588585886 2889177171772 3611471464715 5056060050601 7222942929430 10112120101202 14445885858860 20224240202404 25280300253005 50560600506010 101121201012020