100002120212101 has 16 divisors (see below), whose sum is σ = 102883905957888. Its totient is φ = 97145817174000.

The previous prime is 100002120212021. The next prime is 100002120212117. The reversal of 100002120212101 is 101212021200001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100002120212101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002120212161) 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, 40278550 + ... + 42689176.

It is an arithmetic number, because the mean of its divisors is an integer number (6430244122368).

Almost surely, 2^{100002120212101} is an apocalyptic number.

It is an amenable number.

100002120212101 is a deficient number, since it is larger than the sum of its proper divisors (2881785745787).

100002120212101 is a wasteful number, since it uses less digits than its factorization.

100002120212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415912.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100002120212101 its reverse (101212021200001), we get a palindrome (201214141412102).

The spelling of 100002120212101 in words is "one hundred trillion, two billion, one hundred twenty million, two hundred twelve thousand, one hundred one".