100975751361643 has 2 divisors, whose sum is σ = 100975751361644. Its totient is φ = 100975751361642.

The previous prime is 100975751361539. The next prime is 100975751361671. The reversal of 100975751361643 is 346163157579001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100975751361643 - 2²¹ = 100975749264491 is a prime.

It is a super-2 number, since 2×100975751361643² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100975751361143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50487875680821 + 50487875680822.

It is an arithmetic number, because the mean of its divisors is an integer number (50487875680822).

Almost surely, 2^{100975751361643} is an apocalyptic number.

100975751361643 is a deficient number, since it is larger than the sum of its proper divisors (1).

100975751361643 is an equidigital number, since it uses as much as digits as its factorization.

100975751361643 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 100975751361643 in words is "one hundred trillion, nine hundred seventy-five billion, seven hundred fifty-one million, three hundred sixty-one thousand, six hundred forty-three".