100122002011009 has 16 divisors (see below), whose sum is σ = 117776844480960. Its totient is φ = 84126317472000.

The previous prime is 100122002011007. The next prime is 100122002011013. The reversal of 100122002011009 is 900110200221001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100122002011009 - 2¹ = 100122002011007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122002011007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5842096812 + ... + 5842113949.

It is an arithmetic number, because the mean of its divisors is an integer number (7361052780060).

Almost surely, 2^{100122002011009} is an apocalyptic number.

100122002011009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100122002011009 is a deficient number, since it is larger than the sum of its proper divisors (17654842469951).

100122002011009 is a wasteful number, since it uses less digits than its factorization.

100122002011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11684210832.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 100122002011009 in words is "one hundred trillion, one hundred twenty-two billion, two million, eleven thousand, nine".