101100109993 has 2 divisors, whose sum is σ = 101100109994. Its totient is φ = 101100109992.

The previous prime is 101100109991. The next prime is 101100110009. The reversal of 101100109993 is 399901001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100979043984 + 121066009 = 317772^2 + 11003^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100109993 - 2¹ = 101100109991 is a prime.

Together with 101100109991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101100109991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550054996 + 50550054997.

It is an arithmetic number, because the mean of its divisors is an integer number (50550054997).

Almost surely, 2^101100109993 is an apocalyptic number.

It is an amenable number.

101100109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100109993 is an equidigital number, since it uses as much as digits as its factorization.

101100109993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 101100109993 in words is "one hundred one billion, one hundred million, one hundred nine thousand, nine hundred ninety-three".