101010000091937 has 2 divisors, whose sum is σ = 101010000091938. Its totient is φ = 101010000091936.

The previous prime is 101010000091919. The next prime is 101010000091961. The reversal of 101010000091937 is 739190000010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92988394016401 + 8021606075536 = 9643049^2 + 2832244^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010000091937 - 2¹⁶ = 101010000026401 is a prime.

It is a super-2 number, since 2×101010000091937² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101010000091997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000045968 + 50505000045969.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000045969).

Almost surely, 2^{101010000091937} is an apocalyptic number.

It is an amenable number.

101010000091937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000091937 is an equidigital number, since it uses as much as digits as its factorization.

101010000091937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 32.

The spelling of 101010000091937 in words is "one hundred one trillion, ten billion, ninety-one thousand, nine hundred thirty-seven".