101010100000012 has 96 divisors (see below), whose sum is σ = 217105242375168. Its totient is φ = 40133809926144.

The previous prime is 101010099999983. The next prime is 101010100000081. The reversal of 101010100000012 is 210000001010101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101010099999950 and 101010100000004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036345593 + ... + 1036443055.

It is an arithmetic number, because the mean of its divisors is an integer number (2261512941408).

Almost surely, 2^{101010100000012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010100000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108552621187584).

101010100000012 is an abundant number, since it is smaller than the sum of its proper divisors (116095142375156).

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

101010100000012 is a wasteful number, since it uses less digits than its factorization.

101010100000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130055 (or 130053 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101010100000012 its reverse (210000001010101), we get a palindrome (311010101010113).

The spelling of 101010100000012 in words is "one hundred one trillion, ten billion, one hundred million, twelve", and thus it is an aban number.