101011000099937 has 2 divisors, whose sum is σ = 101011000099938. Its totient is φ = 101011000099936.

The previous prime is 101011000099931. The next prime is 101011000099957. The reversal of 101011000099937 is 739990000110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66024059019361 + 34986941080576 = 8125519^2 + 5914976^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011000099937 - 2⁶ = 101011000099873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011000099894 and 101011000099903.

It is not a weakly prime, because it can be changed into another prime (101011000099931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500049968 + 50505500049969.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500049969).

Almost surely, 2^{101011000099937} is an apocalyptic number.

It is an amenable number.

101011000099937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000099937 is an equidigital number, since it uses as much as digits as its factorization.

101011000099937 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101011000099937 in words is "one hundred one trillion, eleven billion, ninety-nine thousand, nine hundred thirty-seven".