100121122021049 has 2 divisors, whose sum is σ = 100121122021050. Its totient is φ = 100121122021048.

The previous prime is 100121122020961. The next prime is 100121122021087. The reversal of 100121122021049 is 940120221121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54043743588025 + 46077378433024 = 7351445^2 + 6788032^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121122021049 - 2³⁶ = 100052402544313 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121122071049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060561010524 + 50060561010525.

It is an arithmetic number, because the mean of its divisors is an integer number (50060561010525).

Almost surely, 2^{100121122021049} is an apocalyptic number.

It is an amenable number.

100121122021049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121122021049 is an equidigital number, since it uses as much as digits as its factorization.

100121122021049 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 26.

The spelling of 100121122021049 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, twenty-one thousand, forty-nine".