122221100001029 has 2 divisors, whose sum is σ = 122221100001030. Its totient is φ = 122221100001028.

The previous prime is 122221100000969. The next prime is 122221100001031. The reversal of 122221100001029 is 920100001122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87180596073025 + 35040503928004 = 9337055^2 + 5919502^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221100001029 - 2⁸ = 122221100000773 is a prime.

Together with 122221100001031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221100000995 and 122221100001013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221100001229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110550000514 + 61110550000515.

It is an arithmetic number, because the mean of its divisors is an integer number (61110550000515).

Almost surely, 2^{122221100001029} is an apocalyptic number.

It is an amenable number.

122221100001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221100001029 is an equidigital number, since it uses as much as digits as its factorization.

122221100001029 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 122221100001029 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred million, one thousand, twenty-nine".