10102100003 has 8 divisors (see below), whose sum is σ = 10350408096. Its totient is φ = 9853883200.

The previous prime is 10102099993. The next prime is 10102100011. The reversal of 10102100003 is 30000120101.

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 10102100003 - 2⁸ = 10102099747 is a prime.

It is a super-2 number, since 2×10102100003² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102103003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237113 + ... + 276453.

It is an arithmetic number, because the mean of its divisors is an integer number (1293801012).

Almost surely, 2^10102100003 is an apocalyptic number.

10102100003 is a deficient number, since it is larger than the sum of its proper divisors (248308093).

10102100003 is an equidigital number, since it uses as much as digits as its factorization.

10102100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45645.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10102100003 its reverse (30000120101), we get a palindrome (40102220104).

The spelling of 10102100003 in words is "ten billion, one hundred two million, one hundred thousand, three".