10111211110120 has 32 divisors (see below), whose sum is σ = 22958942668200. Its totient is φ = 4007379080448.

The previous prime is 10111211110109. The next prime is 10111211110241. The reversal of 10111211110120 is 2101111211101.

10111211110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9849818187364 + 261392922756 = 3138442^2 + 511266^2 .

It is a super-2 number, since 2×10111211110120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111211110120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159538199 + ... + 1159546918.

Almost surely, 2^{10111211110120} is an apocalyptic number.

10111211110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111211110120 is an abundant number, since it is smaller than the sum of its proper divisors (12847731558080).

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

10111211110120 is a wasteful number, since it uses less digits than its factorization.

10111211110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319085237 (or 2319085233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10111211110120 its reverse (2101111211101), we get a palindrome (12212322321221).

The spelling of 10111211110120 in words is "ten trillion, one hundred eleven billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".