100120100938057 has 2 divisors, whose sum is σ = 100120100938058. Its totient is φ = 100120100938056.

The previous prime is 100120100937919. The next prime is 100120100938069. The reversal of 100120100938057 is 750839001021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78959769736761 + 21160331201296 = 8885931^2 + 4600036^2 .

It is an emirp because it is prime and its reverse (750839001021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120100938057 - 2¹⁵ = 100120100905289 is a prime.

It is a super-2 number, since 2×100120100938057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100120100938157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060050469028 + 50060050469029.

It is an arithmetic number, because the mean of its divisors is an integer number (50060050469029).

Almost surely, 2^{100120100938057} is an apocalyptic number.

It is an amenable number.

100120100938057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120100938057 is an equidigital number, since it uses as much as digits as its factorization.

100120100938057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 37.

Adding to 100120100938057 its reverse (750839001021001), we get a palindrome (850959101959058).

The spelling of 100120100938057 in words is "one hundred trillion, one hundred twenty billion, one hundred million, nine hundred thirty-eight thousand, fifty-seven".