100213112789 has 2 divisors, whose sum is σ = 100213112790. Its totient is φ = 100213112788.

The previous prime is 100213112771. The next prime is 100213112809. The reversal of 100213112789 is 987211312001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90851002225 + 9362110564 = 301415^2 + 96758^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213112789 - 2⁸ = 100213112533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100213114789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106556394 + 50106556395.

It is an arithmetic number, because the mean of its divisors is an integer number (50106556395).

Almost surely, 2^100213112789 is an apocalyptic number.

It is an amenable number.

100213112789 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213112789 is an equidigital number, since it uses as much as digits as its factorization.

100213112789 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 35.

The spelling of 100213112789 in words is "one hundred billion, two hundred thirteen million, one hundred twelve thousand, seven hundred eighty-nine".