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101221102201020 = 22354081941329243
BaseRepresentation
bin10111000000111101011111…
…110101110010100010111100
3111021101122100122112112001220
4113000331133311302202330
5101231401304130413040
6555140155444433340
730214661162453244
oct2700753765624274
9437348318475056
10101221102201020
112a2856a040021a
12b4293b23a8850
13446315557a019
141add1adb74b24
15ba7ed6d942d0
hex5c0f5fd728bc

101221102201020 has 48 divisors (see below), whose sum is σ = 283426036333440. Its totient is φ = 26991631999296.

The previous prime is 101221102201019. The next prime is 101221102201039. The reversal of 101221102201020 is 20102201122101.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18215482 + ... + 23113761.

It is an arithmetic number, because the mean of its divisors is an integer number (5904709090280).

Almost surely, 2101221102201020 is an apocalyptic number.

101221102201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221102201020 is an abundant number, since it is smaller than the sum of its proper divisors (182204934132420).

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

101221102201020 is a wasteful number, since it uses less digits than its factorization.

101221102201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41370074 (or 41370072 counting only the distinct ones).

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

Adding to 101221102201020 its reverse (20102201122101), we get a palindrome (121323303323121).

It can be divided in two parts, 10122110 and 2201020, that added together give a triangular number (12323130 = T4964).

The spelling of 101221102201020 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40819 81638 122457 163276 204095 244914 408190 489828 612285 816380 1224570 2449140 41329243 82658486 123987729 165316972 206646215 247975458 413292430 495950916 619938645 826584860 1239877290 2479754580 1687018370017 3374036740034 5061055110051 6748073480068 8435091850085 10122110220102 16870183700170 20244220440204 25305275550255 33740367400340 50610551100510 101221102201020