101011122012112 has 40 divisors (see below), whose sum is σ = 210766670842280. Its totient is φ = 46619836623360.

The previous prime is 101011122012019. The next prime is 101011122012139. The reversal of 101011122012112 is 211210221110101.

101011122012112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3328814846016 + 97682307166096 = 1824504^2 + 9883436^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 10861162 + ... + 17888182.

It is an arithmetic number, because the mean of its divisors is an integer number (5269166771057).

Almost surely, 2^{101011122012112} is an apocalyptic number.

It is an amenable number.

101011122012112 is an abundant number, since it is smaller than the sum of its proper divisors (109755548830168).

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

101011122012112 is a wasteful number, since it uses less digits than its factorization.

101011122012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096151 (or 7096145 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101011122012112 its reverse (211210221110101), we get a palindrome (312221343122213).

The spelling of 101011122012112 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, twelve thousand, one hundred twelve".