10102400001 has 16 divisors (see below), whose sum is σ = 15449310720. Its totient is φ = 6517676880.

The previous prime is 10102399981. The next prime is 10102400047. The reversal of 10102400001 is 10000420101.

It is a happy number.

It is not a de Polignac number, because 10102400001 - 2²² = 10098205697 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10102400051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6034050 + ... + 6035723.

It is an arithmetic number, because the mean of its divisors is an integer number (965581920).

Almost surely, 2^10102400001 is an apocalyptic number.

It is an amenable number.

10102400001 is a deficient number, since it is larger than the sum of its proper divisors (5346910719).

10102400001 is a wasteful number, since it uses less digits than its factorization.

10102400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12069813 (or 12069807 counting only the distinct ones).

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

Adding to 10102400001 its reverse (10000420101), we get a palindrome (20102820102).

The spelling of 10102400001 in words is "ten billion, one hundred two million, four hundred thousand, one".