10022002120 has 64 divisors (see below), whose sum is σ = 25121502000. Its totient is φ = 3572825088.

The previous prime is 10022002117. The next prime is 10022002127. The reversal of 10022002120 is 2120022001.

It can be written as a sum of positive squares in 8 ways, for example, as 1184874084 + 8837128036 = 34422^2 + 94006^2 .

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 = 10022002097 and 10022002106.

It is not an unprimeable number, because it can be changed into a prime (10022002127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317215 + ... + 347374.

Almost surely, 2^10022002120 is an apocalyptic number.

10022002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022002120 is an abundant number, since it is smaller than the sum of its proper divisors (15099499880).

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

10022002120 is a wasteful number, since it uses less digits than its factorization.

10022002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664642 (or 664638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022002120 its reverse (2120022001), we get a palindrome (12142024121).

The spelling of 10022002120 in words is "ten billion, twenty-two million, two thousand, one hundred twenty".