100200211012001 has 8 divisors (see below), whose sum is σ = 103655941681320. Its totient is φ = 96744517074688.

The previous prime is 100200211011997. The next prime is 100200211012009. The reversal of 100200211012001 is 100210112002001.

It can be written as a sum of positive squares in 4 ways, for example, as 43622735772001 + 56577475240000 = 6604751^2 + 7521800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100200211012001 - 2² = 100200211011997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100200211012009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3575126 + ... + 14600751.

It is an arithmetic number, because the mean of its divisors is an integer number (12956992710165).

Almost surely, 2^{100200211012001} is an apocalyptic number.

It is an amenable number.

100200211012001 is a deficient number, since it is larger than the sum of its proper divisors (3455730669319).

100200211012001 is a wasteful number, since it uses less digits than its factorization.

100200211012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18366003.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200211012001 its reverse (100210112002001), we get a palindrome (200410323014002).

The spelling of 100200211012001 in words is "one hundred trillion, two hundred billion, two hundred eleven million, twelve thousand, one".