101010010112 has 78 divisors (see below), whose sum is σ = 222029046624. Its totient is φ = 45913415680.

The previous prime is 101010010109. The next prime is 101010010159. The reversal of 101010010112 is 211010010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101010010112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 393713 + ... + 597519.

Almost surely, 2^101010010112 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 101010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111014523312).

101010010112 is an abundant number, since it is smaller than the sum of its proper divisors (121019036512).

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

101010010112 is an equidigital number, since it uses as much as digits as its factorization.

101010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203853 (or 203820 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101010010112 its reverse (211010010101), we get a palindrome (312020020213).

The spelling of 101010010112 in words is "one hundred one billion, ten million, ten thousand, one hundred twelve".