10100122212120 has 64 divisors (see below), whose sum is σ = 31345206876000. Its totient is φ = 2600491235328.

The previous prime is 10100122212083. The next prime is 10100122212127. The reversal of 10100122212120 is 2121222100101.

10100122212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10100122212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100122212127) 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, 1451163505 + ... + 1451170464.

Almost surely, 2^{10100122212120} is an apocalyptic number.

10100122212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100122212120 is an abundant number, since it is smaller than the sum of its proper divisors (21245084663880).

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

10100122212120 is a wasteful number, since it uses less digits than its factorization.

10100122212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902334012 (or 2902334008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10100122212120 its reverse (2121222100101), we get a palindrome (12221344312221).

The spelling of 10100122212120 in words is "ten trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".