101122122100 has 18 divisors (see below), whose sum is σ = 219435005174. Its totient is φ = 40448848800.

The previous prime is 101122122089. The next prime is 101122122187. The reversal of 101122122100 is 1221221101.

It can be written as a sum of positive squares in 3 ways, for example, as 8537020816 + 92585101284 = 92396^2 + 304278^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505610511 + ... + 505610710.

Almost surely, 2^101122122100 is an apocalyptic number.

101122122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122122100 is an abundant number, since it is smaller than the sum of its proper divisors (118312883074).

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

101122122100 is a wasteful number, since it uses less digits than its factorization.

101122122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011221235 (or 1011221228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101122122100 its reverse (1221221101), we get a palindrome (102343343201).

Subtracting from 101122122100 its reverse (1221221101), we obtain a palindrome (99900900999).

The spelling of 101122122100 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".