111312100021000 has 128 divisors (see below), whose sum is σ = 260671139820000. Its totient is φ = 44490526080000.

The previous prime is 111312100020983. The next prime is 111312100021027. The reversal of 111312100021000 is 120001213111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7323052980996 + 103989047040004 = 2706114^2 + 10197502^2 .

It is a super-2 number, since 2×111312100021000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8414242386 + ... + 8414255614.

Almost surely, 2^{111312100021000} is an apocalyptic number.

111312100021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111312100021000 is an abundant number, since it is smaller than the sum of its proper divisors (149359039799000).

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

111312100021000 is a wasteful number, since it uses less digits than its factorization.

111312100021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19100 (or 19086 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 111312100021000 its reverse (120001213111), we get a palindrome (111432101234111).

The spelling of 111312100021000 in words is "one hundred eleven trillion, three hundred twelve billion, one hundred million, twenty-one thousand".