101858285129 has 2 divisors, whose sum is σ = 101858285130. Its totient is φ = 101858285128.

The previous prime is 101858285119. The next prime is 101858285143. The reversal of 101858285129 is 921582858101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101855445904 + 2839225 = 319148^2 + 1685^2 .

It is a cyclic number.

It is not a de Polignac number, because 101858285129 - 2²⁴ = 101841507913 is a prime.

It is a super-2 number, since 2×101858285129² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101858285119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50929142564 + 50929142565.

It is an arithmetic number, because the mean of its divisors is an integer number (50929142565).

Almost surely, 2^101858285129 is an apocalyptic number.

It is an amenable number.

101858285129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101858285129 is an equidigital number, since it uses as much as digits as its factorization.

101858285129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 460800, while the sum is 50.

The spelling of 101858285129 in words is "one hundred one billion, eight hundred fifty-eight million, two hundred eighty-five thousand, one hundred twenty-nine".