101011000000112 has 40 divisors (see below), whose sum is σ = 200486817709920. Its totient is φ = 49272523166720.

The previous prime is 101011000000039. The next prime is 101011000000277. The reversal of 101011000000112 is 211000000110101.

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 101011000000112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27074564 + ... + 30578652.

It is an arithmetic number, because the mean of its divisors is an integer number (5012170442748).

Almost surely, 2^{101011000000112} is an apocalyptic number.

It is an amenable number.

101011000000112 is a deficient number, since it is larger than the sum of its proper divisors (99475817709808).

101011000000112 is a wasteful number, since it uses less digits than its factorization.

101011000000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548081 (or 3548075 counting only the distinct ones).

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

Adding to 101011000000112 its reverse (211000000110101), we get a palindrome (312011000110213).

The spelling of 101011000000112 in words is "one hundred one trillion, eleven billion, one hundred twelve", and thus it is an aban number.