101034455324993 has 2 divisors, whose sum is σ = 101034455324994. Its totient is φ = 101034455324992.

The previous prime is 101034455324909. The next prime is 101034455325109. The reversal of 101034455324993 is 399423554430101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73212870828304 + 27821584496689 = 8556452^2 + 5274617^2 .

It is a cyclic number.

It is not a de Polignac number, because 101034455324993 - 2²² = 101034451130689 is a prime.

It is a super-2 number, since 2×101034455324993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101034455320993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50517227662496 + 50517227662497.

It is an arithmetic number, because the mean of its divisors is an integer number (50517227662497).

Almost surely, 2^{101034455324993} is an apocalyptic number.

It is an amenable number.

101034455324993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101034455324993 is an equidigital number, since it uses as much as digits as its factorization.

101034455324993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6998400, while the sum is 53.

The spelling of 101034455324993 in words is "one hundred one trillion, thirty-four billion, four hundred fifty-five million, three hundred twenty-four thousand, nine hundred ninety-three".