10001002120 has 32 divisors (see below), whose sum is σ = 22511076120. Its totient is φ = 3998832640.

The previous prime is 10001002103. The next prime is 10001002159. The reversal of 10001002120 is 2120010001.

It can be written as a sum of positive squares in 4 ways, for example, as 9991601764 + 9400356 = 99958^2 + 3066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57144 + ... + 152536.

Almost surely, 2^10001002120 is an apocalyptic number.

10001002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001002120 is an abundant number, since it is smaller than the sum of its proper divisors (12510074000).

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

10001002120 is a wasteful number, since it uses less digits than its factorization.

10001002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98025 (or 98021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10001002120 its reverse (2120010001), we get a palindrome (12121012121).

The spelling of 10001002120 in words is "ten billion, one million, two thousand, one hundred twenty".