22100121020129 has 2 divisors, whose sum is σ = 22100121020130. Its totient is φ = 22100121020128.

The previous prime is 22100121020119. The next prime is 22100121020137. The reversal of 22100121020129 is 92102012100122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20433112090000 + 1667008930129 = 4520300^2 + 1291127^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100121020129 - 2¹² = 22100121016033 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22100121020119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050060510064 + 11050060510065.

It is an arithmetic number, because the mean of its divisors is an integer number (11050060510065).

Almost surely, 2^{22100121020129} is an apocalyptic number.

It is an amenable number.

22100121020129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100121020129 is an equidigital number, since it uses as much as digits as its factorization.

22100121020129 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 22100121020129 in words is "twenty-two trillion, one hundred billion, one hundred twenty-one million, twenty thousand, one hundred twenty-nine".