101001000100093 has 2 divisors, whose sum is σ = 101001000100094. Its totient is φ = 101001000100092.

The previous prime is 101001000100019. The next prime is 101001000100151. The reversal of 101001000100093 is 390001000100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97007469482169 + 3993530617924 = 9849237^2 + 1998382^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001000100093 - 2²¹ = 101000998002941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001000110093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500050046 + 50500500050047.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500050047).

Almost surely, 2^{101001000100093} is an apocalyptic number.

It is an amenable number.

101001000100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000100093 is an equidigital number, since it uses as much as digits as its factorization.

101001000100093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 101001000100093 its reverse (390001000100101), we get a palindrome (491002000200194).

The spelling of 101001000100093 in words is "one hundred one trillion, one billion, one hundred thousand, ninety-three".