100122020123129 has 2 divisors, whose sum is σ = 100122020123130. Its totient is φ = 100122020123128.

The previous prime is 100122020123113. The next prime is 100122020123173. The reversal of 100122020123129 is 921321020221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89295847323904 + 10826172799225 = 9449648^2 + 3290315^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122020123129 - 2⁴ = 100122020123113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122020123098 and 100122020123107.

It is not a weakly prime, because it can be changed into another prime (100122020123179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061010061564 + 50061010061565.

It is an arithmetic number, because the mean of its divisors is an integer number (50061010061565).

Almost surely, 2^{100122020123129} is an apocalyptic number.

It is an amenable number.

100122020123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122020123129 is an equidigital number, since it uses as much as digits as its factorization.

100122020123129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 100122020123129 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred twenty-three thousand, one hundred twenty-nine".