100210102721 has 2 divisors, whose sum is σ = 100210102722. Its totient is φ = 100210102720.

The previous prime is 100210102693. The next prime is 100210102723. The reversal of 100210102721 is 127201012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99136819600 + 1073283121 = 314860^2 + 32761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210102721 is a prime.

Together with 100210102723, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100210102721.

It is not a weakly prime, because it can be changed into another prime (100210102723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105051360 + 50105051361.

It is an arithmetic number, because the mean of its divisors is an integer number (50105051361).

Almost surely, 2^100210102721 is an apocalyptic number.

It is an amenable number.

100210102721 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210102721 is an equidigital number, since it uses as much as digits as its factorization.

100210102721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100210102721 its reverse (127201012001), we get a palindrome (227411114722).

The spelling of 100210102721 in words is "one hundred billion, two hundred ten million, one hundred two thousand, seven hundred twenty-one".