202210011001121 has 2 divisors, whose sum is σ = 202210011001122. Its totient is φ = 202210011001120.

The previous prime is 202210011001067. The next prime is 202210011001123. The reversal of 202210011001121 is 121100110012202.

202210011001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128116048394896 + 74093962606225 = 11318836^2 + 8607785^2 .

It is a cyclic number.

It is not a de Polignac number, because 202210011001121 - 2¹⁰ = 202210011000097 is a prime.

Together with 202210011001123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 202210011001096 and 202210011001105.

It is not a weakly prime, because it can be changed into another prime (202210011001123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101105005500560 + 101105005500561.

It is an arithmetic number, because the mean of its divisors is an integer number (101105005500561).

Almost surely, 2^{202210011001121} is an apocalyptic number.

It is an amenable number.

202210011001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202210011001121 is an equidigital number, since it uses as much as digits as its factorization.

202210011001121 is an evil number, because the sum of its binary digits is even.

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

Adding to 202210011001121 its reverse (121100110012202), we get a palindrome (323310121013323).

The spelling of 202210011001121 in words is "two hundred two trillion, two hundred ten billion, eleven million, one thousand, one hundred twenty-one".