100120100257 has 2 divisors, whose sum is σ = 100120100258. Its totient is φ = 100120100256.

The previous prime is 100120100153. The next prime is 100120100287. The reversal of 100120100257 is 752001021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93416420881 + 6703679376 = 305641^2 + 81876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100120100257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100120100287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060050128 + 50060050129.

It is an arithmetic number, because the mean of its divisors is an integer number (50060050129).

Almost surely, 2^100120100257 is an apocalyptic number.

It is an amenable number.

100120100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120100257 is an equidigital number, since it uses as much as digits as its factorization.

100120100257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 100120100257 its reverse (752001021001), we get a palindrome (852121121258).

The spelling of 100120100257 in words is "one hundred billion, one hundred twenty million, one hundred thousand, two hundred fifty-seven".