100021111001257 has 2 divisors, whose sum is σ = 100021111001258. Its totient is φ = 100021111001256.

The previous prime is 100021111001219. The next prime is 100021111001261. The reversal of 100021111001257 is 752100111120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95132010702096 + 4889100299161 = 9753564^2 + 2211131^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021111001257 - 2⁷ = 100021111001129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100021114001257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010555500628 + 50010555500629.

It is an arithmetic number, because the mean of its divisors is an integer number (50010555500629).

Almost surely, 2^{100021111001257} is an apocalyptic number.

It is an amenable number.

100021111001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021111001257 is an equidigital number, since it uses as much as digits as its factorization.

100021111001257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 22.

Adding to 100021111001257 its reverse (752100111120001), we get a palindrome (852121222121258).

The spelling of 100021111001257 in words is "one hundred trillion, twenty-one billion, one hundred eleven million, one thousand, two hundred fifty-seven".