100210101003 has 12 divisors (see below), whose sum is σ = 145706521168. Its totient is φ = 66364304400.

The previous prime is 100210100897. The next prime is 100210101011. The reversal of 100210101003 is 300101012001.

It is not a de Polignac number, because 100210101003 - 2²⁶ = 100142992139 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210101073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36867700 + ... + 36870417.

Almost surely, 2^100210101003 is an apocalyptic number.

100210101003 is a deficient number, since it is larger than the sum of its proper divisors (45496420165).

100210101003 is a wasteful number, since it uses less digits than its factorization.

100210101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73738274 (or 73738271 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100210101003 its reverse (300101012001), we get a palindrome (400311113004).

The spelling of 100210101003 in words is "one hundred billion, two hundred ten million, one hundred one thousand, three".