101010122122100 has 36 divisors (see below), whose sum is σ = 220917886017024. Its totient is φ = 40085906726880.

The previous prime is 101010122122099. The next prime is 101010122122123. The reversal of 101010122122100 is 1221221010101.

It is a super-2 number, since 2×101010122122100² (a number of 29 digits) contains 22 as substring.

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, 3976763762 + ... + 3976789161.

Almost surely, 2^{101010122122100} is an apocalyptic number.

101010122122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010122122100 is an abundant number, since it is smaller than the sum of its proper divisors (119907763894924).

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

101010122122100 is a wasteful number, since it uses less digits than its factorization.

101010122122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953553064 (or 7953553057 counting only the distinct ones).

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

Adding to 101010122122100 its reverse (1221221010101), we get a palindrome (102231343132201).

The spelling of 101010122122100 in words is "one hundred one trillion, ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".