102002000001 has 16 divisors (see below), whose sum is σ = 148373480640. Its totient is φ = 61816504320.

The previous prime is 102001999991. The next prime is 102002000017. The reversal of 102002000001 is 100000200201.

It is a happy number.

It is not a de Polignac number, because 102002000001 - 2¹⁴ = 102001983617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102002000021) 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, 802545 + ... + 920913.

It is an arithmetic number, because the mean of its divisors is an integer number (9273342540).

Almost surely, 2^102002000001 is an apocalyptic number.

102002000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002000001 is a deficient number, since it is larger than the sum of its proper divisors (46371480639).

102002000001 is a wasteful number, since it uses less digits than its factorization.

102002000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144496.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102002000001 its reverse (100000200201), we get a palindrome (202002200202).

The spelling of 102002000001 in words is "one hundred two billion, two million, one", and thus it is an aban number.