100211591807531 has 2 divisors, whose sum is σ = 100211591807532. Its totient is φ = 100211591807530.

The previous prime is 100211591807519. The next prime is 100211591807533. The reversal of 100211591807531 is 135708195112001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100211591807531 - 2²⁶ = 100211524698667 is a prime.

It is a super-2 number, since 2×100211591807531² (a number of 29 digits) contains 22 as substring.

Together with 100211591807533, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100211591807533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105795903765 + 50105795903766.

It is an arithmetic number, because the mean of its divisors is an integer number (50105795903766).

Almost surely, 2^{100211591807531} is an apocalyptic number.

100211591807531 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211591807531 is an equidigital number, since it uses as much as digits as its factorization.

100211591807531 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 44.

The spelling of 100211591807531 in words is "one hundred trillion, two hundred eleven billion, five hundred ninety-one million, eight hundred seven thousand, five hundred thirty-one".