2001102100201 has 8 divisors (see below), whose sum is σ = 2043321142824. Its totient is φ = 1959283238400.

The previous prime is 2001102100189. The next prime is 2001102100219. The reversal of 2001102100201 is 1020012011002.

It can be written as a sum of positive squares in 4 ways, for example, as 258836737600 + 1742265362601 = 508760^2 + 1319949^2 .

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 2001102100201 - 2³⁷ = 1863663146729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001102100241) 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, 100035100 + ... + 100055101.

It is an arithmetic number, because the mean of its divisors is an integer number (255415142853).

Almost surely, 2^{2001102100201} is an apocalyptic number.

It is an amenable number.

2001102100201 is a deficient number, since it is larger than the sum of its proper divisors (42219042623).

2001102100201 is a wasteful number, since it uses less digits than its factorization.

2001102100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200090411.

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

Adding to 2001102100201 its reverse (1020012011002), we get a palindrome (3021114111203).

The spelling of 2001102100201 in words is "two trillion, one billion, one hundred two million, one hundred thousand, two hundred one".