10111210112000 has 88 divisors (see below), whose sum is σ = 25225257721560. Its totient is φ = 4044483993600.

The previous prime is 10111210111993. The next prime is 10111210112009. The reversal of 10111210112000 is 21101211101.

It can be written as a sum of positive squares in 4 ways, for example, as 73566797824 + 10037643314176 = 271232^2 + 3168224^2 .

It is a super-2 number, since 2×10111210112000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111210112009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39368915 + ... + 39624914.

Almost surely, 2^{10111210112000} is an apocalyptic number.

10111210112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111210112000 is an abundant number, since it is smaller than the sum of its proper divisors (15114047609560).

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

10111210112000 is an frugal number, since it uses more digits than its factorization.

10111210112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78993864 (or 78993836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10111210112000 its reverse (21101211101), we get a palindrome (10132311323101).

The spelling of 10111210112000 in words is "ten trillion, one hundred eleven billion, two hundred ten million, one hundred twelve thousand".