101010011112 has 48 divisors (see below), whose sum is σ = 273686096580. Its totient is φ = 33655564800.

The previous prime is 101010011071. The next prime is 101010011143. The reversal of 101010011112 is 211110010101.

It can be written as a sum of positive squares in 2 ways, for example, as 95670201636 + 5339809476 = 309306^2 + 73074^2 .

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 = 101010011094 and 101010011103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131089 + ... + 468192.

Almost surely, 2^101010011112 is an apocalyptic number.

101010011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010011112 is an abundant number, since it is smaller than the sum of its proper divisors (172676085468).

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

101010011112 is a wasteful number, since it uses less digits than its factorization.

101010011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601634 (or 601627 counting only the distinct ones).

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

Adding to 101010011112 its reverse (211110010101), we get a palindrome (312120021213).

The spelling of 101010011112 in words is "one hundred one billion, ten million, eleven thousand, one hundred twelve".