1003222110100 has 144 divisors (see below), whose sum is σ = 2677531127040. Its totient is φ = 318421555200.

The previous prime is 1003222110061. The next prime is 1003222110173. The reversal of 1003222110100 is 10112223001.

1003222110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34881 + ... + 1416919.

It is an arithmetic number, because the mean of its divisors is an integer number (18593966160).

Almost surely, 2^{1003222110100} is an apocalyptic number.

1003222110100 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 1003222110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338765563520).

1003222110100 is an abundant number, since it is smaller than the sum of its proper divisors (1674309016940).

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

1003222110100 is a wasteful number, since it uses less digits than its factorization.

1003222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382138 (or 1382131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1003222110100 its reverse (10112223001), we get a palindrome (1013334333101).

The spelling of 1003222110100 in words is "one trillion, three billion, two hundred twenty-two million, one hundred ten thousand, one hundred".