10111133112012 has 144 divisors (see below), whose sum is σ = 27221627815200. Its totient is φ = 3279715453440.

The previous prime is 10111133112011. The next prime is 10111133112061. The reversal of 10111133112012 is 21021133111101.

10111133112012 is a `hidden beast` number, since 101 + 111 + 331 + 120 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10111133112011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15176314 + ... + 15828542.

It is an arithmetic number, because the mean of its divisors is an integer number (189039082050).

Almost surely, 2^{10111133112012} is an apocalyptic number.

10111133112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111133112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610813907600).

10111133112012 is an abundant number, since it is smaller than the sum of its proper divisors (17110494703188).

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

10111133112012 is a wasteful number, since it uses less digits than its factorization.

10111133112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652678 (or 652664 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10111133112012 its reverse (21021133111101), we get a palindrome (31132266223113).

The spelling of 10111133112012 in words is "ten trillion, one hundred eleven billion, one hundred thirty-three million, one hundred twelve thousand, twelve".