1002100110120 has 96 divisors (see below), whose sum is σ = 3344847709320. Its totient is φ = 260004349440.

The previous prime is 1002100110097. The next prime is 1002100110163. The reversal of 1002100110120 is 210110012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 949537211364 + 52562898756 = 974442^2 + 229266^2 .

It is a super-2 number, since 2×1002100110120² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37603051 + ... + 37629690.

Almost surely, 2^{1002100110120} is an apocalyptic number.

1002100110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002100110120 is an abundant number, since it is smaller than the sum of its proper divisors (2342747599200).

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

1002100110120 is a wasteful number, since it uses less digits than its factorization.

1002100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75232795 (or 75232788 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002100110120 its reverse (210110012001), we get a palindrome (1212210122121).

The spelling of 1002100110120 in words is "one trillion, two billion, one hundred million, one hundred ten thousand, one hundred twenty".