100222002012029 has 2 divisors, whose sum is σ = 100222002012030. Its totient is φ = 100222002012028.

The previous prime is 100222002012007. The next prime is 100222002012031. The reversal of 100222002012029 is 920210200222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97956745236100 + 2265256775929 = 9897310^2 + 1505077^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222002012029 - 2²⁰ = 100222000963453 is a prime.

It is a Sophie Germain prime.

Together with 100222002012031, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100222002011995 and 100222002012013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222002012079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111001006014 + 50111001006015.

It is an arithmetic number, because the mean of its divisors is an integer number (50111001006015).

Almost surely, 2^{100222002012029} is an apocalyptic number.

It is an amenable number.

100222002012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222002012029 is an equidigital number, since it uses as much as digits as its factorization.

100222002012029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 100222002012029 in words is "one hundred trillion, two hundred twenty-two billion, two million, twelve thousand, twenty-nine".