100122011757967 has 2 divisors, whose sum is σ = 100122011757968. Its totient is φ = 100122011757966.

The previous prime is 100122011757959. The next prime is 100122011758007. The reversal of 100122011757967 is 769757110221001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100122011757967 - 2³ = 100122011757959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122011757967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122011757917) 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, 50061005878983 + 50061005878984.

It is an arithmetic number, because the mean of its divisors is an integer number (50061005878984).

Almost surely, 2^{100122011757967} is an apocalyptic number.

100122011757967 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122011757967 is an equidigital number, since it uses as much as digits as its factorization.

100122011757967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 370440, while the sum is 49.

Adding to 100122011757967 its reverse (769757110221001), we get a palindrome (869879121978968).

The spelling of 100122011757967 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, seven hundred fifty-seven thousand, nine hundred sixty-seven".