100826132194057 has 2 divisors, whose sum is σ = 100826132194058. Its totient is φ = 100826132194056.

The previous prime is 100826132194027. The next prime is 100826132194061. The reversal of 100826132194057 is 750491231628001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74106547722256 + 26719584471801 = 8608516^2 + 5169099^2 .

It is an emirp because it is prime and its reverse (750491231628001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100826132194057 is a prime.

It is a super-2 number, since 2×100826132194057² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100826132194057.

It is not a weakly prime, because it can be changed into another prime (100826132194027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50413066097028 + 50413066097029.

It is an arithmetic number, because the mean of its divisors is an integer number (50413066097029).

It is a 1-persistent number, because it is pandigital, but 2⋅100826132194057 = 201652264388114 is not.

Almost surely, 2^{100826132194057} is an apocalyptic number.

It is an amenable number.

100826132194057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100826132194057 is an equidigital number, since it uses as much as digits as its factorization.

100826132194057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 100826132194057 in words is "one hundred trillion, eight hundred twenty-six billion, one hundred thirty-two million, one hundred ninety-four thousand, fifty-seven".