10010211100120 has 64 divisors (see below), whose sum is σ = 28080592185600. Its totient is φ = 3120065796480.

The previous prime is 10010211100033. The next prime is 10010211100189. The reversal of 10010211100120 is 2100111201001.

10010211100120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10010211100097 and 10010211100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625031190 + ... + 1625037349.

It is an arithmetic number, because the mean of its divisors is an integer number (438759252900).

Almost surely, 2^{10010211100120} is an apocalyptic number.

10010211100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010211100120 is an abundant number, since it is smaller than the sum of its proper divisors (18070381085480).

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

10010211100120 is a wasteful number, since it uses less digits than its factorization.

10010211100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250068568 (or 3250068564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010211100120 its reverse (2100111201001), we get a palindrome (12110322301121).

The spelling of 10010211100120 in words is "ten trillion, ten billion, two hundred eleven million, one hundred thousand, one hundred twenty".