10111210111120 has 40 divisors (see below), whose sum is σ = 24891420188664. Its totient is φ = 3806573217792.

The previous prime is 10111210111117. The next prime is 10111210111133. The reversal of 10111210111120 is 2111101211101.

It can be written as a sum of positive squares in 4 ways, for example, as 1621282703616 + 8489927407504 = 1273296^2 + 2913748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10111210111120² (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 10111210111120.

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, 3717355299 + ... + 3717358018.

Almost surely, 2^{10111210111120} is an apocalyptic number.

10111210111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111210111120 is an abundant number, since it is smaller than the sum of its proper divisors (14780210077544).

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

10111210111120 is a wasteful number, since it uses less digits than its factorization.

10111210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434713347 (or 7434713341 counting only the distinct ones).

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

Adding to 10111210111120 its reverse (2111101211101), we get a palindrome (12222311322221).

The spelling of 10111210111120 in words is "ten trillion, one hundred eleven billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".