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100021202222202 = 23226172123321917
BaseRepresentation
bin10110101111100000000000…
…001110100111110001111010
3111010010221012120001000100200
4112233200000032213301322
5101102221410232102302
6552421034515543030
730032202430101162
oct2657400016476172
9433127176030320
10100021202222202
112996283211a568
12b2749422baa76
1343a6c60912661
141a9b0a2a455a2
15b86baad6481c
hex5af8003a7c7a

100021202222202 has 24 divisors (see below), whose sum is σ = 216795414471636. Its totient is φ = 33327660793536.

The previous prime is 100021202222177. The next prime is 100021202222219. The reversal of 100021202222202 is 202222202120001.

100021202222202 is a `hidden beast` number, since 10 + 0 + 0 + 212 + 0 + 222 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99730401953121 + 290800269081 = 9986511^2 + 539259^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061613853 + ... + 1061708064.

Almost surely, 2100021202222202 is an apocalyptic number.

100021202222202 is an abundant number, since it is smaller than the sum of its proper divisors (116774212249434).

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

100021202222202 is a wasteful number, since it uses less digits than its factorization.

100021202222202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123324542 (or 2123324539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100021202222202 its reverse (202222202120001), we get a palindrome (302243404342203).

The spelling of 100021202222202 in words is "one hundred trillion, twenty-one billion, two hundred two million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 2617 5234 7851 15702 23553 47106 2123321917 4246643834 6369965751 12739931502 19109897253 38219794506 5556733456789 11113466913578 16670200370367 33340400740734 50010601111101 100021202222202