100222122020202 has 192 divisors, whose sum is σ = 274585877180160. Its totient is φ = 25708110676992.

The previous prime is 100222122020177. The next prime is 100222122020221. The reversal of 100222122020202 is 202020221222001.

100222122020202 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 221 + 220 + 20 + 202 = 666.

It is a super-2 number, since 2×100222122020202² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160840398 + ... + 161462310.

It is an arithmetic number, because the mean of its divisors is an integer number (1430134776980).

Almost surely, 2^{100222122020202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222122020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137292938590080).

100222122020202 is an abundant number, since it is smaller than the sum of its proper divisors (174363755159958).

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

100222122020202 is a wasteful number, since it uses less digits than its factorization.

100222122020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624637 (or 624634 counting only the distinct ones).

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

Adding to 100222122020202 its reverse (202020221222001), we get a palindrome (302242343242203).

The spelling of 100222122020202 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty thousand, two hundred two".