100021228037729 has 2 divisors, whose sum is σ = 100021228037730. Its totient is φ = 100021228037728.

The previous prime is 100021228037719. The next prime is 100021228037767. The reversal of 100021228037729 is 927730822120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98510627263504 + 1510600774225 = 9925252^2 + 1229065^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021228037729 - 2³² = 100016933070433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100021228037729.

It is not a weakly prime, because it can be changed into another prime (100021228037719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010614018864 + 50010614018865.

It is an arithmetic number, because the mean of its divisors is an integer number (50010614018865).

Almost surely, 2^{100021228037729} is an apocalyptic number.

It is an amenable number.

100021228037729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021228037729 is an equidigital number, since it uses as much as digits as its factorization.

100021228037729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 100021228037729 in words is "one hundred trillion, twenty-one billion, two hundred twenty-eight million, thirty-seven thousand, seven hundred twenty-nine".