100101001001257 has 2 divisors, whose sum is σ = 100101001001258. Its totient is φ = 100101001001256.

The previous prime is 100101001001207. The next prime is 100101001001303. The reversal of 100101001001257 is 752100100101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72931668320016 + 27169332681241 = 8540004^2 + 5212421^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101001001257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101001001207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500500628 + 50050500500629.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500500629).

Almost surely, 2^{100101001001257} is an apocalyptic number.

It is an amenable number.

100101001001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001001257 is an equidigital number, since it uses as much as digits as its factorization.

100101001001257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 100101001001257 its reverse (752100100101001), we get a palindrome (852201101102258).

The spelling of 100101001001257 in words is "one hundred trillion, one hundred one billion, one million, one thousand, two hundred fifty-seven".