10120222022100 has 72 divisors (see below), whose sum is σ = 29281821655968. Its totient is φ = 2698666339200.

The previous prime is 10120222022093. The next prime is 10120222022101. The reversal of 10120222022100 is 122022202101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120222022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120222022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14199462 + ... + 14895138.

It is an arithmetic number, because the mean of its divisors is an integer number (406691967444).

Almost surely, 2^{10120222022100} is an apocalyptic number.

10120222022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120222022100 is an abundant number, since it is smaller than the sum of its proper divisors (19161599633868).

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

10120222022100 is a wasteful number, since it uses less digits than its factorization.

10120222022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744185 (or 744178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10120222022100 its reverse (122022202101), we get a palindrome (10242244224201).

The spelling of 10120222022100 in words is "ten trillion, one hundred twenty billion, two hundred twenty-two million, twenty-two thousand, one hundred".