201211002210101 has 32 divisors (see below), whose sum is σ = 218176225596000. Its totient is φ = 184460671116288.

The previous prime is 201211002210067. The next prime is 201211002210133. The reversal of 201211002210101 is 101012200112102.

It can be written as a sum of positive squares in 16 ways, for example, as 5954815182001 + 195256187028100 = 2440249^2 + 13973410^2 .

It is a cyclic number.

It is not a de Polignac number, because 201211002210101 - 2³⁰ = 201209928468277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211002260101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14342497955 + ... + 14342511983.

It is an arithmetic number, because the mean of its divisors is an integer number (6818007049875).

Almost surely, 2^{201211002210101} is an apocalyptic number.

It is an amenable number.

201211002210101 is a deficient number, since it is larger than the sum of its proper divisors (16965223385899).

201211002210101 is a wasteful number, since it uses less digits than its factorization.

201211002210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20633.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201211002210101 its reverse (101012200112102), we get a palindrome (302223202322203).

The spelling of 201211002210101 in words is "two hundred one trillion, two hundred eleven billion, two million, two hundred ten thousand, one hundred one".