101100000000010 has 128 divisors (see below), whose sum is σ = 212305724282880. Its totient is φ = 34254769152000.

The previous prime is 101100000000007. The next prime is 101100000000059. The reversal of 101100000000010 is 10000000001101.

101100000000010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2171415111 + ... + 2171461669.

It is an arithmetic number, because the mean of its divisors is an integer number (1658638470960).

Almost surely, 2^{101100000000010} is an apocalyptic number.

101100000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100000000010 is an abundant number, since it is smaller than the sum of its proper divisors (111205724282870).

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

101100000000010 is a wasteful number, since it uses less digits than its factorization.

101100000000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58192.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101100000000010 its reverse (10000000001101), we get a palindrome (111100000001111).

The spelling of 101100000000010 in words is "one hundred one trillion, one hundred billion, ten", and thus it is an aban number.