10221412201 has 81 divisors (see below), whose sum is σ = 14293588869. Its totient is φ = 7279272000.

The previous prime is 10221412183. The next prime is 10221412211.

The square root of 10221412201 is 101101.

It is a perfect power (a square), and thus also a powerful number.

10221412201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 385533225 + 9835878976 = 19635^2 + 99176^2 .

It is not a de Polignac number, because 10221412201 - 2⁹ = 10221411689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221412211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101202051 + ... + 101202151.

Almost surely, 2^10221412201 is an apocalyptic number.

10221412201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221412201 is the 101101-st square number.

10221412201 is the 50551-st centered octagonal number.

It is an amenable number.

10221412201 is a deficient number, since it is larger than the sum of its proper divisors (4072176668).

10221412201 is a wasteful number, since it uses less digits than its factorization.

10221412201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Multiplying 10221412201 by its sum of digits (16), we get a square (163542595216 = 404404²).

Multiplying 10221412201 by its product of nonzero digits (64), we get a square (654170380864 = 808808²).

The spelling of 10221412201 in words is "ten billion, two hundred twenty-one million, four hundred twelve thousand, two hundred one".