101100222112120 has 96 divisors (see below), whose sum is σ = 285754346892000. Its totient is φ = 31511757530880.

The previous prime is 101100222112117. The next prime is 101100222112147. The reversal of 101100222112120 is 21211222001101.

It is a super-2 number, since 2×101100222112120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100222112094 and 101100222112103.

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, 1492000095 + ... + 1492067854.

It is an arithmetic number, because the mean of its divisors is an integer number (2976607780125).

Almost surely, 2^{101100222112120} is an apocalyptic number.

101100222112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100222112120 is an abundant number, since it is smaller than the sum of its proper divisors (184654124779880).

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

101100222112120 is a wasteful number, since it uses less digits than its factorization.

101100222112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984067989 (or 2984067974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101100222112120 its reverse (21211222001101), we get a palindrome (122311444113221).

The spelling of 101100222112120 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".