10111113001200 has 120 divisors (see below), whose sum is σ = 32606643510000. Its totient is φ = 2678200801280.

The previous prime is 10111113001163. The next prime is 10111113001201. The reversal of 10111113001200 is 210031111101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10111113001200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111113001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28096125 + ... + 28453724.

It is an arithmetic number, because the mean of its divisors is an integer number (271722029250).

Almost surely, 2^{10111113001200} is an apocalyptic number.

10111113001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111113001200 is an abundant number, since it is smaller than the sum of its proper divisors (22495530508800).

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

10111113001200 is a wasteful number, since it uses less digits than its factorization.

10111113001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56550019 (or 56550008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10111113001200 its reverse (210031111101), we get a palindrome (10321144112301).

The spelling of 10111113001200 in words is "ten trillion, one hundred eleven billion, one hundred thirteen million, one thousand, two hundred".