101010010100112 has 120 divisors (see below), whose sum is σ = 292991506516280. Its totient is φ = 32459452600320.

The previous prime is 101010010100107. The next prime is 101010010100117. The reversal of 101010010100112 is 211001010010101.

It is an interprime number because it is at equal distance from previous prime (101010010100107) and next prime (101010010100117).

It can be written as a sum of positive squares in 4 ways, for example, as 48259364034816 + 52750646065296 = 6946896^2 + 7262964^2 .

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 = 101010010100094 and 101010010100103.

It is not an unprimeable number, because it can be changed into a prime (101010010100117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86384089 + ... + 87545592.

Almost surely, 2^{101010010100112} is an apocalyptic number.

101010010100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010010100112 is an abundant number, since it is smaller than the sum of its proper divisors (191981496416168).

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

101010010100112 is a wasteful number, since it uses less digits than its factorization.

101010010100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173929841 (or 173929832 counting only the distinct ones).

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

Adding to 101010010100112 its reverse (211001010010101), we get a palindrome (312011020110213).

The spelling of 101010010100112 in words is "one hundred one trillion, ten billion, ten million, one hundred thousand, one hundred twelve".