101100010000010 has 32 divisors (see below), whose sum is σ = 210121257911040. Its totient is φ = 34305511491072.

The previous prime is 101100009999997. The next prime is 101100010000061. The reversal of 101100010000010 is 10000010001101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101100009999949 and 101100010000003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7444765670 + ... + 7444779249.

It is an arithmetic number, because the mean of its divisors is an integer number (6566289309720).

Almost surely, 2^{101100010000010} is an apocalyptic number.

101100010000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100010000010 is an abundant number, since it is smaller than the sum of its proper divisors (109021247911030).

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

101100010000010 is a wasteful number, since it uses less digits than its factorization.

101100010000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14889545030.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101100010000010 its reverse (10000010001101), we get a palindrome (111100020001111).

The spelling of 101100010000010 in words is "one hundred one trillion, one hundred billion, ten million, ten", and thus it is an aban number.