10002120210 has 24 divisors (see below), whose sum is σ = 26005512780. Its totient is φ = 2667232032.

The previous prime is 10002120157. The next prime is 10002120283. The reversal of 10002120210 is 1202120001.

It can be written as a sum of positive squares in 2 ways, for example, as 9986604489 + 15515721 = 99933^2 + 3939^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10002120192 and 10002120201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55567245 + ... + 55567424.

Almost surely, 2^10002120210 is an apocalyptic number.

10002120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002120210 is an abundant number, since it is smaller than the sum of its proper divisors (16003392570).

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

10002120210 is a wasteful number, since it uses less digits than its factorization.

10002120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111134682 (or 111134679 counting only the distinct ones).

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

Adding to 10002120210 its reverse (1202120001), we get a palindrome (11204240211).

The spelling of 10002120210 in words is "ten billion, two million, one hundred twenty thousand, two hundred ten".