100201020102001 has 64 divisors (see below), whose sum is σ = 127053158400000. Its totient is φ = 76906042790400.

The previous prime is 100201020101999. The next prime is 100201020102089.

100201020102001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100201020102001 - 2¹ = 100201020101999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201020105001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504440100 + ... + 504638698.

It is an arithmetic number, because the mean of its divisors is an integer number (1985205600000).

Almost surely, 2^{100201020102001} is an apocalyptic number.

It is an amenable number.

100201020102001 is a deficient number, since it is larger than the sum of its proper divisors (26852138297999).

100201020102001 is a wasteful number, since it uses less digits than its factorization.

100201020102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199430.

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

The spelling of 100201020102001 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred two thousand, one".