100101111000993 has 6 divisors (see below), whose sum is σ = 144590493668114. Its totient is φ = 66734074000656.

The previous prime is 100101111000977. The next prime is 100101111001043. The reversal of 100101111000993 is 399000111101001.

It can be written as a sum of positive squares in only one way, i.e., 51850541335824 + 48250569665169 = 7200732^2 + 6946263^2 .

It is not a de Polignac number, because 100101111000993 - 2⁴ = 100101111000977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101111000923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561172833380 + ... + 5561172833397.

Almost surely, 2^{100101111000993} is an apocalyptic number.

It is an amenable number.

100101111000993 is a deficient number, since it is larger than the sum of its proper divisors (44489382667121).

100101111000993 is a wasteful number, since it uses less digits than its factorization.

100101111000993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122345666783 (or 11122345666780 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 27.

Adding to 100101111000993 its reverse (399000111101001), we get a palindrome (499101222101994).

The spelling of 100101111000993 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, nine hundred ninety-three", and thus it is an aban number.