1010121021120 has 112 divisors (see below), whose sum is σ = 3207491647488. Its totient is φ = 269335587840.

The previous prime is 1010121021113. The next prime is 1010121021163. The reversal of 1010121021120 is 211201210101.

It is a super-2 number, since 2×1010121021120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010121021096 and 1010121021105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9345627 + ... + 9453093.

Almost surely, 2^{1010121021120} is an apocalyptic number.

1010121021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010121021120 is an abundant number, since it is smaller than the sum of its proper divisors (2197370626368).

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

1010121021120 is a wasteful number, since it uses less digits than its factorization.

1010121021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117278 (or 117268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010121021120 its reverse (211201210101), we get a palindrome (1221322231221).

The spelling of 1010121021120 in words is "one trillion, ten billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".