101011121120120 has 64 divisors (see below), whose sum is σ = 230577304557600. Its totient is φ = 39820333639680.

The previous prime is 101011121120111. The next prime is 101011121120141. The reversal of 101011121120120 is 21021121110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011121120095 and 101011121120104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45118661 + ... + 47304500.

Almost surely, 2^{101011121120120} is an apocalyptic number.

101011121120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011121120120 is an abundant number, since it is smaller than the sum of its proper divisors (129566183437480).

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

101011121120120 is a wasteful number, since it uses less digits than its factorization.

101011121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92423568 (or 92423564 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011121120120 its reverse (21021121110101), we get a palindrome (122032242230221).

The spelling of 101011121120120 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".