1011002110120 has 32 divisors (see below), whose sum is σ = 2408563852200. Its totient is φ = 380612558848.

The previous prime is 1011002110043. The next prime is 1011002110123. The reversal of 1011002110120 is 210112001101.

It can be written as a sum of positive squares in 4 ways, for example, as 787013831044 + 223988279076 = 887138^2 + 473274^2 .

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 = 1011002110097 and 1011002110106.

It is not an unprimeable number, because it can be changed into a prime (1011002110123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743383225 + ... + 743384584.

Almost surely, 2^{1011002110120} is an apocalyptic number.

1011002110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011002110120 is an abundant number, since it is smaller than the sum of its proper divisors (1397561742080).

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

1011002110120 is a wasteful number, since it uses less digits than its factorization.

1011002110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486767837 (or 1486767833 counting only the distinct ones).

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

Adding to 1011002110120 its reverse (210112001101), we get a palindrome (1221114111221).

The spelling of 1011002110120 in words is "one trillion, eleven billion, two million, one hundred ten thousand, one hundred twenty".