100120021099957 has 2 divisors, whose sum is σ = 100120021099958. Its totient is φ = 100120021099956.

The previous prime is 100120021099949. The next prime is 100120021100017. The reversal of 100120021099957 is 759990120021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78539545960516 + 21580475139441 = 8862254^2 + 4645479^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120021099957 - 2³ = 100120021099949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120021099937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060010549978 + 50060010549979.

It is an arithmetic number, because the mean of its divisors is an integer number (50060010549979).

Almost surely, 2^{100120021099957} is an apocalyptic number.

It is an amenable number.

100120021099957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120021099957 is an equidigital number, since it uses as much as digits as its factorization.

100120021099957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 46.

The spelling of 100120021099957 in words is "one hundred trillion, one hundred twenty billion, twenty-one million, ninety-nine thousand, nine hundred fifty-seven".