112100011001010 has 24 divisors (see below), whose sum is σ = 291460028602860. Its totient is φ = 29893336266912.

The previous prime is 112100011000949. The next prime is 112100011001053. The reversal of 112100011001010 is 10100110001211.

It can be written as a sum of positive squares in 2 ways, for example, as 105848725934961 + 6251285066049 = 10288281^2 + 2500257^2 .

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 = 112100011000983 and 112100011001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622777838805 + ... + 622777838984.

Almost surely, 2^{112100011001010} is an apocalyptic number.

112100011001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112100011001010 is an abundant number, since it is smaller than the sum of its proper divisors (179360017601850).

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

112100011001010 is a wasteful number, since it uses less digits than its factorization.

112100011001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245555677802 (or 1245555677799 counting only the distinct ones).

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

Adding to 112100011001010 its reverse (10100110001211), we get a palindrome (122200121002221).

The spelling of 112100011001010 in words is "one hundred twelve trillion, one hundred billion, eleven million, one thousand, ten".