102412800401 has 4 divisors (see below), whose sum is σ = 102860018100. Its totient is φ = 101965582704.

The previous prime is 102412800389. The next prime is 102412800449. The reversal of 102412800401 is 104008214201.

It is a Cunningham number, because it is equal to 320020²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 95382145600 + 7030654801 = 308840^2 + 83849^2 .

It is a cyclic number.

It is not a de Polignac number, because 102412800401 - 2¹⁸ = 102412538257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102412800481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223608506 + ... + 223608963.

It is an arithmetic number, because the mean of its divisors is an integer number (25715004525).

Almost surely, 2^102412800401 is an apocalyptic number.

It is an amenable number.

102412800401 is a deficient number, since it is larger than the sum of its proper divisors (447217699).

102412800401 is an equidigital number, since it uses as much as digits as its factorization.

102412800401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447217698.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 102412800401 in words is "one hundred two billion, four hundred twelve million, eight hundred thousand, four hundred one".