101122102100 has 36 divisors (see below), whose sum is σ = 230984174400. Its totient is φ = 38319953760.

The previous prime is 101122102079. The next prime is 101122102129. The reversal of 101122102100 is 1201221101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26609180 + ... + 26612979.

Almost surely, 2^101122102100 is an apocalyptic number.

101122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122102100 is an abundant number, since it is smaller than the sum of its proper divisors (129862072300).

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

101122102100 is a wasteful number, since it uses less digits than its factorization.

101122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53222192 (or 53222185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101122102100 its reverse (1201221101), we get a palindrome (102323323201).

The spelling of 101122102100 in words is "one hundred one billion, one hundred twenty-two million, one hundred two thousand, one hundred".