100002012100201 has 16 divisors (see below), whose sum is σ = 103800401123328. Its totient is φ = 96239428084800.

The previous prime is 100002012100147. The next prime is 100002012100303. The reversal of 100002012100201 is 102001210200001.

It is a cyclic number.

It is not a de Polignac number, because 100002012100201 - 2²⁵ = 100001978545769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002012109201) 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, 310368555 + ... + 310690591.

It is an arithmetic number, because the mean of its divisors is an integer number (6487525070208).

Almost surely, 2^{100002012100201} is an apocalyptic number.

It is an amenable number.

100002012100201 is a deficient number, since it is larger than the sum of its proper divisors (3798389023127).

100002012100201 is a wasteful number, since it uses less digits than its factorization.

100002012100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377592.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100002012100201 its reverse (102001210200001), we get a palindrome (202003222300202).

The spelling of 100002012100201 in words is "one hundred trillion, two billion, twelve million, one hundred thousand, two hundred one".