101100110020993 has 2 divisors, whose sum is σ = 101100110020994. Its totient is φ = 101100110020992.

The previous prime is 101100110020979. The next prime is 101100110021047. The reversal of 101100110020993 is 399020011001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91827890139969 + 9272219881024 = 9582687^2 + 3045032^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100110020993 - 2²⁵ = 101100076466561 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100110020193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055010496 + 50550055010497.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055010497).

Almost surely, 2^{101100110020993} is an apocalyptic number.

It is an amenable number.

101100110020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110020993 is an equidigital number, since it uses as much as digits as its factorization.

101100110020993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 101100110020993 in words is "one hundred one trillion, one hundred billion, one hundred ten million, twenty thousand, nine hundred ninety-three".