10122200012120 has 64 divisors (see below), whose sum is σ = 26112207513600. Its totient is φ = 3459309482880.

The previous prime is 10122200012053. The next prime is 10122200012129. The reversal of 10122200012120 is 2121000222101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10122200012095 and 10122200012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122200012129) 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, 58033040 + ... + 58207199.

It is an arithmetic number, because the mean of its divisors is an integer number (408003242400).

Almost surely, 2^{10122200012120} is an apocalyptic number.

10122200012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122200012120 is an abundant number, since it is smaller than the sum of its proper divisors (15990007501480).

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

10122200012120 is a wasteful number, since it uses less digits than its factorization.

10122200012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116240568 (or 116240564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122200012120 its reverse (2121000222101), we get a palindrome (12243200234221).

The spelling of 10122200012120 in words is "ten trillion, one hundred twenty-two billion, two hundred million, twelve thousand, one hundred twenty".