201000202100101 has 32 divisors (see below), whose sum is σ = 211243509743616. Its totient is φ = 191050550640000.

The previous prime is 201000202100099. The next prime is 201000202100123. The reversal of 201000202100101 is 101001202000102.

201000202100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201000202100101 - 2¹ = 201000202100099 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 (201000202190101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600904566 + ... + 601238968.

It is an arithmetic number, because the mean of its divisors is an integer number (6601359679488).

Almost surely, 2^{201000202100101} is an apocalyptic number.

It is an amenable number.

201000202100101 is a deficient number, since it is larger than the sum of its proper divisors (10243307643515).

201000202100101 is a wasteful number, since it uses less digits than its factorization.

201000202100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335913.

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

Adding to 201000202100101 its reverse (101001202000102), we get a palindrome (302001404100203).

Subtracting from 201000202100101 its reverse (101001202000102), we obtain a palindrome (99999000099999).

The spelling of 201000202100101 in words is "two hundred one trillion, two hundred two million, one hundred thousand, one hundred one".