100111000099937 has 2 divisors, whose sum is σ = 100111000099938. Its totient is φ = 100111000099936.

The previous prime is 100111000099801. The next prime is 100111000100047. The reversal of 100111000099937 is 739990000111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98033781242401 + 2077218857536 = 9901201^2 + 1441256^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000099937 - 2³² = 100106705132641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111000099894 and 100111000099903.

It is not a weakly prime, because it can be changed into another prime (100111000069937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500049968 + 50055500049969.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500049969).

Almost surely, 2^{100111000099937} is an apocalyptic number.

It is an amenable number.

100111000099937 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000099937 is an equidigital number, since it uses as much as digits as its factorization.

100111000099937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15309, while the sum is 41.

The spelling of 100111000099937 in words is "one hundred trillion, one hundred eleven billion, ninety-nine thousand, nine hundred thirty-seven".