102018692801 has 2 divisors, whose sum is σ = 102018692802. Its totient is φ = 102018692800.

The previous prime is 102018692723. The next prime is 102018692803. The reversal of 102018692801 is 108296810201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61295856400 + 40722836401 = 247580^2 + 201799^2 .

It is a cyclic number.

It is not a de Polignac number, because 102018692801 - 2¹⁰ = 102018691777 is a prime.

It is a super-3 number, since 3×102018692801³ (a number of 34 digits) contains 333 as substring.

Together with 102018692803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102018692803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51009346400 + 51009346401.

It is an arithmetic number, because the mean of its divisors is an integer number (51009346401).

Almost surely, 2^102018692801 is an apocalyptic number.

It is an amenable number.

102018692801 is a deficient number, since it is larger than the sum of its proper divisors (1).

102018692801 is an equidigital number, since it uses as much as digits as its factorization.

102018692801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 38.

The spelling of 102018692801 in words is "one hundred two billion, eighteen million, six hundred ninety-two thousand, eight hundred one".