101011100000112 has 80 divisors (see below), whose sum is σ = 292505102894880. Its totient is φ = 33372398803968.

The previous prime is 101011100000101. The next prime is 101011100000147. The reversal of 101011100000112 is 211000001110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011100000094 and 101011100000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034561763 + ... + 1034659394.

It is an arithmetic number, because the mean of its divisors is an integer number (3656313786186).

Almost surely, 2^{101011100000112} is an apocalyptic number.

101011100000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011100000112 is an abundant number, since it is smaller than the sum of its proper divisors (191494002894768).

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

101011100000112 is a wasteful number, since it uses less digits than its factorization.

101011100000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069221287 (or 2069221275 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011100000112 its reverse (211000001110101), we get a palindrome (312011101110213).

The spelling of 101011100000112 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred twelve", and thus it is an aban number.