10101100000112 has 40 divisors (see below), whose sum is σ = 21398685813120. Its totient is φ = 4580950265280.

The previous prime is 10101100000067. The next prime is 10101100000151. The reversal of 10101100000112 is 21100000110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10101100000112.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 65290178 + ... + 65444705.

It is an arithmetic number, because the mean of its divisors is an integer number (534967145328).

Almost surely, 2^{10101100000112} is an apocalyptic number.

It is an amenable number.

10101100000112 is an abundant number, since it is smaller than the sum of its proper divisors (11297585813008).

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

10101100000112 is a wasteful number, since it uses less digits than its factorization.

10101100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130735341 (or 130735335 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101100000112 its reverse (21100000110101), we get a palindrome (31201100110213).

The spelling of 10101100000112 in words is "ten trillion, one hundred one billion, one hundred million, one hundred twelve", and thus it is an aban number.