101221021129 has 2 divisors, whose sum is σ = 101221021130. Its totient is φ = 101221021128.

The previous prime is 101221021091. The next prime is 101221021147. The reversal of 101221021129 is 921120122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100790375625 + 430645504 = 317475^2 + 20752^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221021129 - 2⁷ = 101221021001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101221021169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610510564 + 50610510565.

It is an arithmetic number, because the mean of its divisors is an integer number (50610510565).

Almost surely, 2^101221021129 is an apocalyptic number.

It is an amenable number.

101221021129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221021129 is an equidigital number, since it uses as much as digits as its factorization.

101221021129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101221021129 in words is "one hundred one billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty-nine".