102002110001 has 8 divisors (see below), whose sum is σ = 111565569024. Its totient is φ = 92487074320.

The previous prime is 102002109977. The next prime is 102002110009. The reversal of 102002110001 is 100011200201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102002110001 - 2³⁴ = 84822240817 is a prime.

It is a super-2 number, since 2×102002110001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102002110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12101426 + ... + 12109851.

It is an arithmetic number, because the mean of its divisors is an integer number (13945696128).

Almost surely, 2^102002110001 is an apocalyptic number.

102002110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002110001 is a deficient number, since it is larger than the sum of its proper divisors (9563459023).

102002110001 is a wasteful number, since it uses less digits than its factorization.

102002110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24211671.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102002110001 its reverse (100011200201), we get a palindrome (202013310202).

The spelling of 102002110001 in words is "one hundred two billion, two million, one hundred ten thousand, one".