202221211012101 has 24 divisors (see below), whose sum is σ = 310014129933144. Its totient is φ = 126582510136320.

The previous prime is 202221211012099. The next prime is 202221211012133. The reversal of 202221211012101 is 101210112122202.

202221211012101 is a `hidden beast` number, since 20 + 2 + 221 + 211 + 0 + 1 + 210 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1481222873025 + 200739988139076 = 1217055^2 + 14168274^2 .

It is not a de Polignac number, because 202221211012101 - 2¹ = 202221211012099 is a prime.

It is a super-3 number, since 3×202221211012101³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221211012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569659176 + ... + 1569788001.

It is an arithmetic number, because the mean of its divisors is an integer number (12917255413881).

Almost surely, 2^{202221211012101} is an apocalyptic number.

It is an amenable number.

202221211012101 is a deficient number, since it is larger than the sum of its proper divisors (107792918921043).

202221211012101 is a wasteful number, since it uses less digits than its factorization.

202221211012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139447621 (or 3139447618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202221211012101 its reverse (101210112122202), we get a palindrome (303431323134303).

The spelling of 202221211012101 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred eleven million, twelve thousand, one hundred one".