122121100101029 has 2 divisors, whose sum is σ = 122121100101030. Its totient is φ = 122121100101028.

The previous prime is 122121100100929. The next prime is 122121100101097. The reversal of 122121100101029 is 920101001121221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67810317028804 + 54310783072225 = 8234702^2 + 7369585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122121100101029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122121100100995 and 122121100101013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121100100029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060550050514 + 61060550050515.

It is an arithmetic number, because the mean of its divisors is an integer number (61060550050515).

Almost surely, 2^{122121100101029} is an apocalyptic number.

It is an amenable number.

122121100101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121100101029 is an equidigital number, since it uses as much as digits as its factorization.

122121100101029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 122121100101029 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred million, one hundred one thousand, twenty-nine".