102122222220101 has 2 divisors, whose sum is σ = 102122222220102. Its totient is φ = 102122222220100.

The previous prime is 102122222220097. The next prime is 102122222220127. The reversal of 102122222220101 is 101022222221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67245756523201 + 34876465696900 = 8200351^2 + 5905630^2 .

It is an emirp because it is prime and its reverse (101022222221201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102122222220101 - 2² = 102122222220097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122222223101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061111110050 + 51061111110051.

It is an arithmetic number, because the mean of its divisors is an integer number (51061111110051).

Almost surely, 2^{102122222220101} is an apocalyptic number.

It is an amenable number.

102122222220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122222220101 is an equidigital number, since it uses as much as digits as its factorization.

102122222220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102122222220101 its reverse (101022222221201), we get a palindrome (203144444441302).

The spelling of 102122222220101 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty thousand, one hundred one".