102133222002121 has 2 divisors, whose sum is σ = 102133222002122. Its totient is φ = 102133222002120.

The previous prime is 102133222002061. The next prime is 102133222002139. The reversal of 102133222002121 is 121200222331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84693736526400 + 17439485475721 = 9202920^2 + 4176061^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133222002121 - 2²⁷ = 102133087784393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102133222002092 and 102133222002101.

It is not a weakly prime, because it can be changed into another prime (102133222002521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066611001060 + 51066611001061.

It is an arithmetic number, because the mean of its divisors is an integer number (51066611001061).

Almost surely, 2^{102133222002121} is an apocalyptic number.

It is an amenable number.

102133222002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133222002121 is an equidigital number, since it uses as much as digits as its factorization.

102133222002121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102133222002121 its reverse (121200222331201), we get a palindrome (223333444333322).

The spelling of 102133222002121 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred twenty-two million, two thousand, one hundred twenty-one".