102201001010993 has 2 divisors, whose sum is σ = 102201001010994. Its totient is φ = 102201001010992.

The previous prime is 102201001010959. The next prime is 102201001011007. The reversal of 102201001010993 is 399010100102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88137773501584 + 14063227509409 = 9388172^2 + 3750097^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201001010993 - 2²⁶ = 102200933902129 is a prime.

It is not a weakly prime, because it can be changed into another prime (102201001010593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100500505496 + 51100500505497.

It is an arithmetic number, because the mean of its divisors is an integer number (51100500505497).

Almost surely, 2^{102201001010993} is an apocalyptic number.

It is an amenable number.

102201001010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201001010993 is an equidigital number, since it uses as much as digits as its factorization.

102201001010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 102201001010993 in words is "one hundred two trillion, two hundred one billion, one million, ten thousand, nine hundred ninety-three".