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100212221101020 = 22357238600526431
BaseRepresentation
bin10110110010010001111001…
…110101110100001111011100
3111010211012020222202110201020
4112302101321311310033130
5101113334112100213040
6553044505301244140
730052044154553340
oct2662217165641734
9433735228673636
10100212221101020
1129a26845314466
12b2a5972103650
1343bbc83361532
141aa6424027620
15b8bb3aadacd0
hex5b2479d743dc

100212221101020 has 48 divisors (see below), whose sum is σ = 320679107524608. Its totient is φ = 22905650537280.

The previous prime is 100212221100977. The next prime is 100212221101063. The reversal of 100212221101020 is 20101122212001.

100212221101020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100212221100977) and next prime (100212221101063).

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, 119300262796 + ... + 119300263635.

It is an arithmetic number, because the mean of its divisors is an integer number (6680814740096).

Almost surely, 2100212221101020 is an apocalyptic number.

100212221101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212221101020 is an abundant number, since it is smaller than the sum of its proper divisors (220466886423588).

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

100212221101020 is a wasteful number, since it uses less digits than its factorization.

100212221101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238600526450 (or 238600526448 counting only the distinct ones).

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

Adding to 100212221101020 its reverse (20101122212001), we get a palindrome (120313343313021).

The spelling of 100212221101020 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 238600526431 477201052862 715801579293 954402105724 1193002632155 1431603158586 1670203685017 2386005264310 2863206317172 3340407370034 3579007896465 4772010528620 5010611055051 6680814740068 7158015792930 8351018425085 10021222110102 14316031585860 16702036850170 20042444220204 25053055275255 33404073700340 50106110550510 100212221101020