100021111002521 has 2 divisors, whose sum is σ = 100021111002522. Its totient is φ = 100021111002520.

The previous prime is 100021111002493. The next prime is 100021111002523. The reversal of 100021111002521 is 125200111120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92039559375625 + 7981551626896 = 9593725^2 + 2825164^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021111002521 - 2⁶ = 100021111002457 is a prime.

Together with 100021111002523, 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 100021111002521.

It is not a weakly prime, because it can be changed into another prime (100021111002523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010555501260 + 50010555501261.

It is an arithmetic number, because the mean of its divisors is an integer number (50010555501261).

Almost surely, 2^{100021111002521} is an apocalyptic number.

It is an amenable number.

100021111002521 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021111002521 is an equidigital number, since it uses as much as digits as its factorization.

100021111002521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 100021111002521 its reverse (125200111120001), we get a palindrome (225221222122522).

The spelling of 100021111002521 in words is "one hundred trillion, twenty-one billion, one hundred eleven million, two thousand, five hundred twenty-one".