101000001000010 has 16 divisors (see below), whose sum is σ = 207771430628736. Its totient is φ = 34628571771408.

The previous prime is 101000000999957. The next prime is 101000001000047. The reversal of 101000001000010 is 10000100000101.

101000001000010 is a modest number, since divided by 1000010 gives 10100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721428578502 + ... + 721428578641.

It is an arithmetic number, because the mean of its divisors is an integer number (12985714414296).

Almost surely, 2^{101000001000010} is an apocalyptic number.

101000001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000001000010 is an abundant number, since it is smaller than the sum of its proper divisors (106771429628726).

101000001000010 is a wasteful number, since it uses less digits than its factorization.

101000001000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442857157157.

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

Adding to 101000001000010 its reverse (10000100000101), we get a palindrome (111000101000111).

Subtracting from 101000001000010 its reverse (10000100000101), we obtain a palindrome (90999900999909).

The spelling of 101000001000010 in words is "one hundred one trillion, one million, ten", and thus it is an aban number.