102122022101081 has 2 divisors, whose sum is σ = 102122022101082. Its totient is φ = 102122022101080.

The previous prime is 102122022101059. The next prime is 102122022101123. The reversal of 102122022101081 is 180101220221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95732350372681 + 6389671728400 = 9784291^2 + 2527780^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122022101081 - 2²⁶ = 102121954992217 is a prime.

It is a super-3 number, since 3×102122022101081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102122022101381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061011050540 + 51061011050541.

It is an arithmetic number, because the mean of its divisors is an integer number (51061011050541).

Almost surely, 2^{102122022101081} is an apocalyptic number.

It is an amenable number.

102122022101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122022101081 is an equidigital number, since it uses as much as digits as its factorization.

102122022101081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 102122022101081 its reverse (180101220221201), we get a palindrome (282223242322282).

The spelling of 102122022101081 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, one hundred one thousand, eighty-one".