202120221211101 has 12 divisors (see below), whose sum is σ = 294961239202812. Its totient is φ = 133357671726336.

The previous prime is 202120221211043. The next prime is 202120221211187. The reversal of 202120221211101 is 101112122021202.

202120221211101 is a `hidden beast` number, since 20 + 212 + 0 + 221 + 211 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64440740195001 + 137679481016100 = 8027499^2 + 11733690^2 .

It is not a de Polignac number, because 202120221211101 - 2²¹ = 202120219113949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120221211801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115761866946 + ... + 115761868691.

It is an arithmetic number, because the mean of its divisors is an integer number (24580103266901).

Almost surely, 2^{202120221211101} is an apocalyptic number.

It is an amenable number.

202120221211101 is a deficient number, since it is larger than the sum of its proper divisors (92841017991711).

202120221211101 is a wasteful number, since it uses less digits than its factorization.

202120221211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231523735740 (or 231523735737 counting only the distinct ones).

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

Adding to 202120221211101 its reverse (101112122021202), we get a palindrome (303232343232303).

The spelling of 202120221211101 in words is "two hundred two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred one".