1003150222100 has 144 divisors (see below), whose sum is σ = 2355234338688. Its totient is φ = 368667624960.

The previous prime is 1003150222097. The next prime is 1003150222103. The reversal of 1003150222100 is 12220513001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1003150222097) and next prime (1003150222103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003150222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392314022 + ... + 392316578.

Almost surely, 2^{1003150222100} is an apocalyptic number.

1003150222100 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 1003150222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177617169344).

1003150222100 is an abundant number, since it is smaller than the sum of its proper divisors (1352084116588).

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

1003150222100 is a wasteful number, since it uses less digits than its factorization.

1003150222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 1003150222100 its reverse (12220513001), we get a palindrome (1015370735101).

The spelling of 1003150222100 in words is "one trillion, three billion, one hundred fifty million, two hundred twenty-two thousand, one hundred".