100212010721 has 2 divisors, whose sum is σ = 100212010722. Its totient is φ = 100212010720.

The previous prime is 100212010693. The next prime is 100212010757. The reversal of 100212010721 is 127010212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98834784400 + 1377226321 = 314380^2 + 37111^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212010721 - 2³⁰ = 99138268897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100212010721.

It is not a weakly prime, because it can be changed into another prime (100211010721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106005360 + 50106005361.

It is an arithmetic number, because the mean of its divisors is an integer number (50106005361).

Almost surely, 2^100212010721 is an apocalyptic number.

It is an amenable number.

100212010721 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212010721 is an equidigital number, since it uses as much as digits as its factorization.

100212010721 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100212010721 its reverse (127010212001), we get a palindrome (227222222722).

The spelling of 100212010721 in words is "one hundred billion, two hundred twelve million, ten thousand, seven hundred twenty-one".