201122210101001 has 48 divisors (see below), whose sum is σ = 237921506250624. Its totient is φ = 166445705280000.

The previous prime is 201122210100971. The next prime is 201122210101027. The reversal of 201122210101001 is 100101012221102.

It is not a de Polignac number, because 201122210101001 - 2²⁶ = 201122142992137 is a prime.

It is a super-2 number, since 2×201122210101001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201122210101061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7058639111 + ... + 7058667603.

It is an arithmetic number, because the mean of its divisors is an integer number (4956698046888).

Almost surely, 2^{201122210101001} is an apocalyptic number.

It is an amenable number.

201122210101001 is a deficient number, since it is larger than the sum of its proper divisors (36799296149623).

201122210101001 is a wasteful number, since it uses less digits than its factorization.

201122210101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31154 (or 31053 counting only the distinct ones).

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

Adding to 201122210101001 its reverse (100101012221102), we get a palindrome (301223222322103).

The spelling of 201122210101001 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, one".