10002200120 has 128 divisors (see below), whose sum is σ = 25079855040. Its totient is φ = 3559587840.

The previous prime is 10002200069. The next prime is 10002200147. The reversal of 10002200120 is 2100220001.

Added to its reverse (2100220001) it gives a square (12102420121 = 110011²).

It is a Cunningham number, because it is equal to 100011²-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10002200098 and 10002200107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4399304 + ... + 4401576.

Almost surely, 2^10002200120 is an apocalyptic number.

10002200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539927520).

10002200120 is an abundant number, since it is smaller than the sum of its proper divisors (15077654920).

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

10002200120 is a wasteful number, since it uses less digits than its factorization.

10002200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2501 counting only the distinct ones).

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

Adding to 10002200120 its reverse (2100220001), we get a palindrome (12102420121).

The spelling of 10002200120 in words is "ten billion, two million, two hundred thousand, one hundred twenty".