101010010010112 has 640 divisors, whose sum is σ = 349064858419200. Its totient is φ = 28243270729728.

The previous prime is 101010010010059. The next prime is 101010010010141. The reversal of 101010010010112 is 211010010010101.

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 = 101010010010094 and 101010010010103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1273136908 + ... + 1273216244.

It is an arithmetic number, because the mean of its divisors is an integer number (545413841280).

Almost surely, 2^{101010010010112} is an apocalyptic number.

101010010010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174532429209600).

101010010010112 is an abundant number, since it is smaller than the sum of its proper divisors (248054848409088).

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

101010010010112 is an equidigital number, since it uses as much as digits as its factorization.

101010010010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79653 (or 79631 counting only the distinct ones).

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

Adding to 101010010010112 its reverse (211010010010101), we get a palindrome (312020020020213).

The spelling of 101010010010112 in words is "one hundred one trillion, ten billion, ten million, ten thousand, one hundred twelve".