221200120100129 has 2 divisors, whose sum is σ = 221200120100130. Its totient is φ = 221200120100128.

The previous prime is 221200120100119. The next prime is 221200120100159. The reversal of 221200120100129 is 921001021002122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148212606547600 + 72987513552529 = 12174260^2 + 8543273^2 .

It is a cyclic number.

It is not a de Polignac number, because 221200120100129 - 2²⁰ = 221200119051553 is a prime.

It is a super-2 number, since 2×221200120100129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221200120100119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110600060050064 + 110600060050065.

It is an arithmetic number, because the mean of its divisors is an integer number (110600060050065).

Almost surely, 2^{221200120100129} is an apocalyptic number.

It is an amenable number.

221200120100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221200120100129 is an equidigital number, since it uses as much as digits as its factorization.

221200120100129 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 221200120100129 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty million, one hundred thousand, one hundred twenty-nine".