102201022012121 has 2 divisors, whose sum is σ = 102201022012122. Its totient is φ = 102201022012120.

The previous prime is 102201022012109. The next prime is 102201022012169. The reversal of 102201022012121 is 121210220102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60143669905225 + 42057352106896 = 7755235^2 + 6485164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201022012121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102201022012121.

It is not a weakly prime, because it can be changed into another prime (102201022092121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100511006060 + 51100511006061.

It is an arithmetic number, because the mean of its divisors is an integer number (51100511006061).

Almost surely, 2^{102201022012121} is an apocalyptic number.

It is an amenable number.

102201022012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201022012121 is an equidigital number, since it uses as much as digits as its factorization.

102201022012121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102201022012121 its reverse (121210220102201), we get a palindrome (223411242114322).

The spelling of 102201022012121 in words is "one hundred two trillion, two hundred one billion, twenty-two million, twelve thousand, one hundred twenty-one".