10210002120 has 96 divisors (see below), whose sum is σ = 35134440120. Its totient is φ = 2562508800.

The previous prime is 10210002067. The next prime is 10210002133. The reversal of 10210002120 is 2120001201.

It can be written as a sum of positive squares in 4 ways, for example, as 8679158244 + 1530843876 = 93162^2 + 39126^2 .

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, 828031 + ... + 840270.

Almost surely, 2^10210002120 is an apocalyptic number.

10210002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210002120 is an abundant number, since it is smaller than the sum of its proper divisors (24924438000).

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

10210002120 is a wasteful number, since it uses less digits than its factorization.

10210002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668335 (or 1668328 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210002120 its reverse (2120001201), we get a palindrome (12330003321).

The spelling of 10210002120 in words is "ten billion, two hundred ten million, two thousand, one hundred twenty".