100021331222129 has 2 divisors, whose sum is σ = 100021331222130. Its totient is φ = 100021331222128.

The previous prime is 100021331221949. The next prime is 100021331222171. The reversal of 100021331222129 is 921222133120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57352373728225 + 42668957493904 = 7573135^2 + 6532148^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021331222129 - 2³² = 100017036254833 is a prime.

It is not a weakly prime, because it can be changed into another prime (100021331222929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010665611064 + 50010665611065.

It is an arithmetic number, because the mean of its divisors is an integer number (50010665611065).

Almost surely, 2^{100021331222129} is an apocalyptic number.

It is an amenable number.

100021331222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021331222129 is an equidigital number, since it uses as much as digits as its factorization.

100021331222129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 100021331222129 in words is "one hundred trillion, twenty-one billion, three hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty-nine".