100120002121209 has 64 divisors (see below), whose sum is σ = 157624776916992. Its totient is φ = 55339535923200.

The previous prime is 100120002121193. The next prime is 100120002121301. The reversal of 100120002121209 is 902121200021001.

It is not a de Polignac number, because 100120002121209 - 2⁴ = 100120002121193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100120002121309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46039944 + ... + 48165510.

It is an arithmetic number, because the mean of its divisors is an integer number (2462887139328).

Almost surely, 2^{100120002121209} is an apocalyptic number.

It is an amenable number.

100120002121209 is a deficient number, since it is larger than the sum of its proper divisors (57504774795783).

100120002121209 is a wasteful number, since it uses less digits than its factorization.

100120002121209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126086.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 100120002121209 in words is "one hundred trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, two hundred nine".