101121010120 has 64 divisors (see below), whose sum is σ = 247450094640. Its totient is φ = 36967296000.

The previous prime is 101121010099. The next prime is 101121010163. The reversal of 101121010120 is 21010121101.

It can be written as a sum of positive squares in 8 ways, for example, as 51049787364 + 50071222756 = 225942^2 + 223766^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101121010097 and 101121010106.

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, 910171 + ... + 1015210.

Almost surely, 2^101121010120 is an apocalyptic number.

101121010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121010120 is an abundant number, since it is smaller than the sum of its proper divisors (146329084520).

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

101121010120 is a wasteful number, since it uses less digits than its factorization.

101121010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925506 (or 1925502 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101121010120 its reverse (21010121101), we get a palindrome (122131131221).

The spelling of 101121010120 in words is "one hundred one billion, one hundred twenty-one million, ten thousand, one hundred twenty".