101112013031012 has 24 divisors (see below), whose sum is σ = 177851731087800. Its totient is φ = 50297254380800.

The previous prime is 101112013031009. The next prime is 101112013031077. The reversal of 101112013031012 is 210130310211101.

It can be written as a sum of positive squares in 4 ways, for example, as 45453161674816 + 55658851356196 = 6741896^2 + 7460486^2 .

It is a super-4 number, since 4×101112013031012⁴ (a number of 57 digits) contains 4444 as substring.

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, 16059614 + ... + 21450762.

It is an arithmetic number, because the mean of its divisors is an integer number (7410488795325).

Almost surely, 2^{101112013031012} is an apocalyptic number.

It is an amenable number.

101112013031012 is a deficient number, since it is larger than the sum of its proper divisors (76739718056788).

101112013031012 is a wasteful number, since it uses less digits than its factorization.

101112013031012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415151 (or 5415149 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101112013031012 its reverse (210130310211101), we get a palindrome (311242323242113).

The spelling of 101112013031012 in words is "one hundred one trillion, one hundred twelve billion, thirteen million, thirty-one thousand, twelve".