100222010012129 has 2 divisors, whose sum is σ = 100222010012130. Its totient is φ = 100222010012128.

The previous prime is 100222010011943. The next prime is 100222010012197. The reversal of 100222010012129 is 921210010222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61152759720529 + 39069250291600 = 7820023^2 + 6250540^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222010012129 - 2¹⁶ = 100222009946593 is a prime.

It is a super-2 number, since 2×100222010012129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100222010012429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111005006064 + 50111005006065.

It is an arithmetic number, because the mean of its divisors is an integer number (50111005006065).

Almost surely, 2^{100222010012129} is an apocalyptic number.

It is an amenable number.

100222010012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222010012129 is an equidigital number, since it uses as much as digits as its factorization.

100222010012129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100222010012129 in words is "one hundred trillion, two hundred twenty-two billion, ten million, twelve thousand, one hundred twenty-nine".