1022003100 has 108 divisors (see below), whose sum is σ = 3210862200. Its totient is φ = 271900800.

The previous prime is 1022003083. The next prime is 1022003107. The reversal of 1022003100 is 13002201.

It is a happy number.

It is a super-2 number, since 2×1022003100² = 2088980672819220000, which 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 not an unprimeable number, because it can be changed into a prime (1022003107) 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 35 ways as a sum of consecutive naturals, for example, 485851 + ... + 487949.

Almost surely, 2^1022003100 is an apocalyptic number.

1022003100 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 1022003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605431100).

1022003100 is an abundant number, since it is smaller than the sum of its proper divisors (2188859100).

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

1022003100 is a wasteful number, since it uses less digits than its factorization.

1022003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2650 counting only the distinct ones).

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

The square root of 1022003100 is about 31968.7832111264. The cubic root of 1022003100 is about 1007.2812218015.

Adding to 1022003100 its reverse (13002201), we get a palindrome (1035005301).

The spelling of 1022003100 in words is "one billion, twenty-two million, three thousand, one hundred".