258800129101 has 2 divisors, whose sum is σ = 258800129102. Its totient is φ = 258800129100.

The previous prime is 258800129089. The next prime is 258800129117. The reversal of 258800129101 is 101921008852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208619649001 + 50180480100 = 456749^2 + 224010^2 .

It is a cyclic number.

It is not a de Polignac number, because 258800129101 - 2⁷ = 258800128973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258800121101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129400064550 + 129400064551.

It is an arithmetic number, because the mean of its divisors is an integer number (129400064551).

Almost surely, 2^258800129101 is an apocalyptic number.

It is an amenable number.

258800129101 is a deficient number, since it is larger than the sum of its proper divisors (1).

258800129101 is an equidigital number, since it uses as much as digits as its factorization.

258800129101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 258800129101 in words is "two hundred fifty-eight billion, eight hundred million, one hundred twenty-nine thousand, one hundred one".