102410001 has 20 divisors (see below), whose sum is σ = 153976372. Its totient is φ = 67830048.

The previous prime is 102409997. The next prime is 102410029. The reversal of 102410001 is 100014201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55130625 + 47279376 = 7425^2 + 6876^2 .

It is not a de Polignac number, because 102410001 - 2² = 102409997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102410041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8691 + ... + 16743.

Almost surely, 2^102410001 is an apocalyptic number.

It is an amenable number.

102410001 is a deficient number, since it is larger than the sum of its proper divisors (51566371).

102410001 is an equidigital number, since it uses as much as digits as its factorization.

102410001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8222 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102410001 is about 10119.7826557688. The cubic root of 102410001 is about 467.8580684002.

Adding to 102410001 its reverse (100014201), we get a palindrome (202424202).

It can be divided in two parts, 1024 and 10001, that added together give a square (11025 = 105²).

The spelling of 102410001 in words is "one hundred two million, four hundred ten thousand, one".