101122221010100 has 36 divisors (see below), whose sum is σ = 219479116500000. Its totient is φ = 40440796808160.

The previous prime is 101122221010087. The next prime is 101122221010133. The reversal of 101122221010100 is 1010122221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100642550 + ... + 101642349.

It is an arithmetic number, because the mean of its divisors is an integer number (6096642125000).

Almost surely, 2^{101122221010100} is an apocalyptic number.

101122221010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122221010100 is an abundant number, since it is smaller than the sum of its proper divisors (118356895489900).

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

101122221010100 is a wasteful number, since it uses less digits than its factorization.

101122221010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202289912 (or 202289905 counting only the distinct ones).

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

Adding to 101122221010100 its reverse (1010122221101), we get a palindrome (102132343231201).

The spelling of 101122221010100 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, ten thousand, one hundred".