101332022002129 has 2 divisors, whose sum is σ = 101332022002130. Its totient is φ = 101332022002128.

The previous prime is 101332022002111. The next prime is 101332022002199. The reversal of 101332022002129 is 921200220233101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83798498839104 + 17533523163025 = 9154152^2 + 4187305^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332022002129 - 2³³ = 101323432067537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101332022002097 and 101332022002106.

It is not a weakly prime, because it can be changed into another prime (101332022002199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666011001064 + 50666011001065.

It is an arithmetic number, because the mean of its divisors is an integer number (50666011001065).

Almost surely, 2^{101332022002129} is an apocalyptic number.

It is an amenable number.

101332022002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332022002129 is an equidigital number, since it uses as much as digits as its factorization.

101332022002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 101332022002129 in words is "one hundred one trillion, three hundred thirty-two billion, twenty-two million, two thousand, one hundred twenty-nine".