101100100111112 has 8 divisors (see below), whose sum is σ = 189562687708350. Its totient is φ = 50550050055552.

The previous prime is 101100100111079. The next prime is 101100100111139. The reversal of 101100100111112 is 211111001001101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 79248345839716 + 21851754271396 = 8902154^2 + 4674586^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 101100100111093 and 101100100111102.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6318756256937 + ... + 6318756256952.

Almost surely, 2^{101100100111112} is an apocalyptic number.

It is an amenable number.

101100100111112 is a deficient number, since it is larger than the sum of its proper divisors (88462587597238).

101100100111112 is a wasteful number, since it uses less digits than its factorization.

101100100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637512513895 (or 12637512513891 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101100100111112 its reverse (211111001001101), we get a palindrome (312211101112213).

The spelling of 101100100111112 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred twelve".