101110011109993 has 2 divisors, whose sum is σ = 101110011109994. Its totient is φ = 101110011109992.

The previous prime is 101110011109907. The next prime is 101110011110057. The reversal of 101110011109993 is 399901110011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69574733275609 + 31535277834384 = 8341147^2 + 5615628^2 .

It is an emirp because it is prime and its reverse (399901110011101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110011109993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110011109493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005554996 + 50555005554997.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005554997).

Almost surely, 2^{101110011109993} is an apocalyptic number.

It is an amenable number.

101110011109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110011109993 is an equidigital number, since it uses as much as digits as its factorization.

101110011109993 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 37.

The spelling of 101110011109993 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred nine thousand, nine hundred ninety-three".