10002100305351 has 64 divisors (see below), whose sum is σ = 16705044873216. Its totient is φ = 5171476147200.

The previous prime is 10002100305343. The next prime is 10002100305361. The reversal of 10002100305351 is 15350300120001.

It is not a de Polignac number, because 10002100305351 - 2³ = 10002100305343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002100305361) 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 63 ways as a sum of consecutive naturals, for example, 272021770 + ... + 272058536.

It is an arithmetic number, because the mean of its divisors is an integer number (261016326144).

Almost surely, 2^{10002100305351} is an apocalyptic number.

10002100305351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002100305351 is a deficient number, since it is larger than the sum of its proper divisors (6702944567865).

10002100305351 is a wasteful number, since it uses less digits than its factorization.

10002100305351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42292.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 10002100305351 its reverse (15350300120001), we get a palindrome (25352400425352).

The spelling of 10002100305351 in words is "ten trillion, two billion, one hundred million, three hundred five thousand, three hundred fifty-one".