101010111100993 has 2 divisors, whose sum is σ = 101010111100994. Its totient is φ = 101010111100992.

The previous prime is 101010111100991. The next prime is 101010111101017. The reversal of 101010111100993 is 399001111010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94695630644224 + 6314480456769 = 9731168^2 + 2512863^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010111100993 - 2¹ = 101010111100991 is a prime.

It is a super-3 number, since 3×101010111100993³ (a number of 43 digits) contains 333 as substring.

Together with 101010111100991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101010111100991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055550496 + 50505055550497.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055550497).

Almost surely, 2^{101010111100993} is an apocalyptic number.

It is an amenable number.

101010111100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111100993 is an equidigital number, since it uses as much as digits as its factorization.

101010111100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 28.

The spelling of 101010111100993 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred thousand, nine hundred ninety-three".