101112101122120 has 32 divisors (see below), whose sum is σ = 248184248209920. Its totient is φ = 36768036771520.

The previous prime is 101112101122093. The next prime is 101112101122121. The reversal of 101112101122120 is 21221101211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112101122094 and 101112101122103.

It is not an unprimeable number, because it can be changed into a prime (101112101122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114900114472 + ... + 114900115351.

It is an arithmetic number, because the mean of its divisors is an integer number (7755757756560).

Almost surely, 2^{101112101122120} is an apocalyptic number.

101112101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112101122120 is an abundant number, since it is smaller than the sum of its proper divisors (147072147087800).

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

101112101122120 is a wasteful number, since it uses less digits than its factorization.

101112101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229800229845 (or 229800229841 counting only the distinct ones).

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

Adding to 101112101122120 its reverse (21221101211101), we get a palindrome (122333202333221).

The spelling of 101112101122120 in words is "one hundred one trillion, one hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".