201022112101121 has 2 divisors, whose sum is σ = 201022112101122. Its totient is φ = 201022112101120.

The previous prime is 201022112101103. The next prime is 201022112101133. The reversal of 201022112101121 is 121101211220102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133472386650625 + 67549725450496 = 11553025^2 + 8218864^2 .

It is a cyclic number.

It is not a de Polignac number, because 201022112101121 - 2³⁴ = 201004932231937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201022112101121.

It is not a weakly prime, because it can be changed into another prime (201022112151121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100511056050560 + 100511056050561.

It is an arithmetic number, because the mean of its divisors is an integer number (100511056050561).

Almost surely, 2^{201022112101121} is an apocalyptic number.

It is an amenable number.

201022112101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201022112101121 is an equidigital number, since it uses as much as digits as its factorization.

201022112101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201022112101121 its reverse (121101211220102), we get a palindrome (322123323321223).

The spelling of 201022112101121 in words is "two hundred one trillion, twenty-two billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".