100221202111122 has 64 divisors (see below), whose sum is σ = 237036430892160. Its totient is φ = 31279034068992.

The previous prime is 100221202111091. The next prime is 100221202111159. The reversal of 100221202111122 is 221111202122001.

100221202111122 is a `hidden beast` number, since 10 + 0 + 221 + 202 + 111 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100221202111095 and 100221202111104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282655528 + ... + 283009875.

It is an arithmetic number, because the mean of its divisors is an integer number (3703694232690).

Almost surely, 2^{100221202111122} is an apocalyptic number.

100221202111122 is an abundant number, since it is smaller than the sum of its proper divisors (136815228781038).

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

100221202111122 is a wasteful number, since it uses less digits than its factorization.

100221202111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565665624 (or 565665618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100221202111122 its reverse (221111202122001), we get a palindrome (321332404233123).

The spelling of 100221202111122 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, one hundred twenty-two".