10211122201 has 24 divisors (see below), whose sum is σ = 12215921256. Its totient is φ = 8505262080.

The previous prime is 10211122183. The next prime is 10211122211. The reversal of 10211122201 is 10222111201.

It can be written as a sum of positive squares in 4 ways, for example, as 1728896400 + 8482225801 = 41580^2 + 92099^2 .

It is not a de Polignac number, because 10211122201 - 2⁷ = 10211122073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211122211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506425 + ... + 526201.

It is an arithmetic number, because the mean of its divisors is an integer number (508996719).

Almost surely, 2^10211122201 is an apocalyptic number.

It is an amenable number.

10211122201 is a deficient number, since it is larger than the sum of its proper divisors (2004799055).

10211122201 is a wasteful number, since it uses less digits than its factorization.

10211122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211122201 its reverse (10222111201), we get a palindrome (20433233402).

The spelling of 10211122201 in words is "ten billion, two hundred eleven million, one hundred twenty-two thousand, two hundred one".