100200102003 has 32 divisors (see below), whose sum is σ = 151452449280. Its totient is φ = 65454873120.

The previous prime is 100200101951. The next prime is 100200102029. The reversal of 100200102003 is 300201002001.

It is a happy number.

It is not a de Polignac number, because 100200102003 - 2¹⁴ = 100200085619 is a prime.

It is a super-2 number, since 2×100200102003² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100200102073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317500 + ... + 548822.

It is an arithmetic number, because the mean of its divisors is an integer number (4732889040).

Almost surely, 2^100200102003 is an apocalyptic number.

100200102003 is a deficient number, since it is larger than the sum of its proper divisors (51252347277).

100200102003 is a wasteful number, since it uses less digits than its factorization.

100200102003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231656 (or 231650 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100200102003 its reverse (300201002001), we get a palindrome (400401104004).

The spelling of 100200102003 in words is "one hundred billion, two hundred million, one hundred two thousand, three".