101000220110009 has 16 divisors (see below), whose sum is σ = 110640760448064. Its totient is φ = 91436140569600.

The previous prime is 101000220109991. The next prime is 101000220110011. The reversal of 101000220110009 is 900011022000101.

It is a cyclic number.

It is not a de Polignac number, because 101000220110009 - 2²⁴ = 101000203332793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000220110609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232522262 + ... + 232956224.

It is an arithmetic number, because the mean of its divisors is an integer number (6915047528004).

Almost surely, 2^{101000220110009} is an apocalyptic number.

It is an amenable number.

101000220110009 is a deficient number, since it is larger than the sum of its proper divisors (9640540338055).

101000220110009 is a wasteful number, since it uses less digits than its factorization.

101000220110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522008.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101000220110009 in words is "one hundred one trillion, two hundred twenty million, one hundred ten thousand, nine".