10100122101120 has 64 divisors (see below), whose sum is σ = 32194139203440. Its totient is φ = 2693365893120.

The previous prime is 10100122101119. The next prime is 10100122101163. The reversal of 10100122101120 is 2110122100101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100122101096 and 10100122101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2630238211 + ... + 2630242050.

Almost surely, 2^{10100122101120} is an apocalyptic number.

10100122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100122101120 is an abundant number, since it is smaller than the sum of its proper divisors (22094017102320).

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

10100122101120 is an equidigital number, since it uses as much as digits as its factorization.

10100122101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260480283 (or 5260480271 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100122101120 its reverse (2110122100101), we get a palindrome (12210244201221).

The spelling of 10100122101120 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".