201000212101 has 16 divisors (see below), whose sum is σ = 218043972720. Its totient is φ = 184185745920.

The previous prime is 201000212081. The next prime is 201000212117. The reversal of 201000212101 is 101212000102.

It can be written as a sum of positive squares in 8 ways, for example, as 2328545025 + 198671667076 = 48255^2 + 445726^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000212101 - 2⁵ = 201000212069 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 (201000212191) 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, 1418985 + ... + 1554193.

It is an arithmetic number, because the mean of its divisors is an integer number (13627748295).

Almost surely, 2^201000212101 is an apocalyptic number.

It is an amenable number.

201000212101 is a deficient number, since it is larger than the sum of its proper divisors (17043760619).

201000212101 is a wasteful number, since it uses less digits than its factorization.

201000212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136056.

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

Adding to 201000212101 its reverse (101212000102), we get a palindrome (302212212203).

The spelling of 201000212101 in words is "two hundred one billion, two hundred twelve thousand, one hundred one".