101000111010009 has 48 divisors (see below), whose sum is σ = 140962275155520. Its totient is φ = 64317274067200.

The previous prime is 101000111009977. The next prime is 101000111010089. The reversal of 101000111010009 is 900010111000101.

It is not a de Polignac number, because 101000111010009 - 2⁵ = 101000111009977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000111010009.

It is not an unprimeable number, because it can be changed into a prime (101000111010089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325253782 + ... + 325564160.

It is an arithmetic number, because the mean of its divisors is an integer number (2936714065740).

Almost surely, 2^{101000111010009} is an apocalyptic number.

It is an amenable number.

101000111010009 is a deficient number, since it is larger than the sum of its proper divisors (39962164145511).

101000111010009 is a wasteful number, since it uses less digits than its factorization.

101000111010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311818 (or 311789 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 101000111010009 in words is "one hundred one trillion, one hundred eleven million, ten thousand, nine".