102214140040981 has 2 divisors, whose sum is σ = 102214140040982. Its totient is φ = 102214140040980.

The previous prime is 102214140040939. The next prime is 102214140040997. The reversal of 102214140040981 is 189040041412201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95836444372881 + 6377695668100 = 9789609^2 + 2525410^2 .

It is a cyclic number.

It is not a de Polignac number, because 102214140040981 - 2³⁹ = 101664384227093 is a prime.

It is a super-2 number, since 2×102214140040981² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102214140040981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102214140040781) 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, 51107070020490 + 51107070020491.

It is an arithmetic number, because the mean of its divisors is an integer number (51107070020491).

Almost surely, 2^{102214140040981} is an apocalyptic number.

It is an amenable number.

102214140040981 is a deficient number, since it is larger than the sum of its proper divisors (1).

102214140040981 is an equidigital number, since it uses as much as digits as its factorization.

102214140040981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 102214140040981 in words is "one hundred two trillion, two hundred fourteen billion, one hundred forty million, forty thousand, nine hundred eighty-one".