201122011102100 has 72 divisors (see below), whose sum is σ = 476346705901248. Its totient is φ = 73099016524800.

The previous prime is 201122011102073. The next prime is 201122011102127. The reversal of 201122011102100 is 1201110221102.

It is an interprime number because it is at equal distance from previous prime (201122011102073) and next prime (201122011102127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43105592 + ... + 47542991.

Almost surely, 2^{201122011102100} is an apocalyptic number.

201122011102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122011102100 is an abundant number, since it is smaller than the sum of its proper divisors (275224694799148).

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

201122011102100 is a wasteful number, since it uses less digits than its factorization.

201122011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90650625 (or 90650618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201122011102100 its reverse (1201110221102), we get a palindrome (202323121323202).

The spelling of 201122011102100 in words is "two hundred one trillion, one hundred twenty-two billion, eleven million, one hundred two thousand, one hundred".