101100010010010 has 96 divisors (see below), whose sum is σ = 267165727448256. Its totient is φ = 24466616064000.

The previous prime is 101100010010009. The next prime is 101100010010039. The reversal of 101100010010010 is 10010010001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

101100010010010 is a modest number, since divided by 10010010 gives 101100 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22040016 + ... + 26229035.

It is an arithmetic number, because the mean of its divisors is an integer number (2782976327586).

Almost surely, 2^{101100010010010} is an apocalyptic number.

101100010010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100010010010 is an abundant number, since it is smaller than the sum of its proper divisors (166065717438246).

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

101100010010010 is a wasteful number, since it uses less digits than its factorization.

101100010010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48269660 (or 48269649 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101100010010010 its reverse (10010010001101), we get a palindrome (111110020011111).

The spelling of 101100010010010 in words is "one hundred one trillion, one hundred billion, ten million, ten thousand, ten".