101101122112120 has 64 divisors (see below), whose sum is σ = 245011251824640. Its totient is φ = 37324242278400.

The previous prime is 101101122112103. The next prime is 101101122112139. The reversal of 101101122112120 is 21211221101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101122112094 and 101101122112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10472641 + ... + 17660080.

It is an arithmetic number, because the mean of its divisors is an integer number (3828300809760).

Almost surely, 2^{101101122112120} is an apocalyptic number.

101101122112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101122112120 is an abundant number, since it is smaller than the sum of its proper divisors (143910129712520).

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

101101122112120 is a wasteful number, since it uses less digits than its factorization.

101101122112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28139656 (or 28139652 counting only the distinct ones).

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

Adding to 101101122112120 its reverse (21211221101101), we get a palindrome (122312343213221).

The spelling of 101101122112120 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".