102281511024001 has 2 divisors, whose sum is σ = 102281511024002. Its totient is φ = 102281511024000.

The previous prime is 102281511023981. The next prime is 102281511024013. The reversal of 102281511024001 is 100420115182201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72754502640625 + 29527008383376 = 8529625^2 + 5433876^2 .

It is a cyclic number.

It is not a de Polignac number, because 102281511024001 - 2⁷ = 102281511023873 is a prime.

It is not a weakly prime, because it can be changed into another prime (102281511024401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51140755512000 + 51140755512001.

It is an arithmetic number, because the mean of its divisors is an integer number (51140755512001).

Almost surely, 2^{102281511024001} is an apocalyptic number.

It is an amenable number.

102281511024001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102281511024001 is an equidigital number, since it uses as much as digits as its factorization.

102281511024001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 28.

The spelling of 102281511024001 in words is "one hundred two trillion, two hundred eighty-one billion, five hundred eleven million, twenty-four thousand, one".