101110101120 has 256 divisors, whose sum is σ = 409255660800. Its totient is φ = 23110852608.

The previous prime is 101110101067. The next prime is 101110101133. The reversal of 101110101120 is 21101011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296989 + ... + 538908.

It is an arithmetic number, because the mean of its divisors is an integer number (1598654925).

Almost surely, 2^101110101120 is an apocalyptic number.

101110101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110101120 is an abundant number, since it is smaller than the sum of its proper divisors (308145559680).

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

101110101120 is an equidigital number, since it uses as much as digits as its factorization.

101110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835932 (or 835914 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101110101120 its reverse (21101011101), we get a palindrome (122211112221).

The spelling of 101110101120 in words is "one hundred one billion, one hundred ten million, one hundred one thousand, one hundred twenty".