100101008993 has 2 divisors, whose sum is σ = 100101008994. Its totient is φ = 100101008992.

The previous prime is 100101008933. The next prime is 100101009023. The reversal of 100101008993 is 399800101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71677746529 + 28423262464 = 267727^2 + 168592^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101008993 - 2⁶ = 100101008929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101008923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050504496 + 50050504497.

It is an arithmetic number, because the mean of its divisors is an integer number (50050504497).

Almost surely, 2^100101008993 is an apocalyptic number.

It is an amenable number.

100101008993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101008993 is an equidigital number, since it uses as much as digits as its factorization.

100101008993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

Adding to 100101008993 its reverse (399800101001), we get a palindrome (499901109994).

The spelling of 100101008993 in words is "one hundred billion, one hundred one million, eight thousand, nine hundred ninety-three".