100121202202129 has 2 divisors, whose sum is σ = 100121202202130. Its totient is φ = 100121202202128.

The previous prime is 100121202202097. The next prime is 100121202202157. The reversal of 100121202202129 is 921202202121001.

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., 89305996534225 + 10815205667904 = 9450185^2 + 3288648^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121202202129 - 2⁵ = 100121202202097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121202202729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060601101064 + 50060601101065.

It is an arithmetic number, because the mean of its divisors is an integer number (50060601101065).

Almost surely, 2^{100121202202129} is an apocalyptic number.

It is an amenable number.

100121202202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121202202129 is an equidigital number, since it uses as much as digits as its factorization.

100121202202129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 100121202202129 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, two hundred two thousand, one hundred twenty-nine".