10003022100 has 216 divisors, whose sum is σ = 32966431680. Its totient is φ = 2630465280.

The previous prime is 10003022087. The next prime is 10003022147. The reversal of 10003022100 is 122030001.

It is a happy number.

It is a super-2 number, since 2×10003022100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1771081 + ... + 1776719.

Almost surely, 2^10003022100 is an apocalyptic number.

10003022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483215840).

10003022100 is an abundant number, since it is smaller than the sum of its proper divisors (22963409580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003022100 is a wasteful number, since it uses less digits than its factorization.

10003022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5722 counting only the distinct ones).

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

Adding to 10003022100 its reverse (122030001), we get a palindrome (10125052101).

The spelling of 10003022100 in words is "ten billion, three million, twenty-two thousand, one hundred".