1122000100 has 72 divisors (see below), whose sum is σ = 2630604200. Its totient is φ = 412922880.

The previous prime is 1122000097. The next prime is 1122000101. The reversal of 1122000100 is 10002211.

It can be written as a sum of positive squares in 12 ways, for example, as 239197156 + 882802944 = 15466^2 + 29712^2 .

It is not an unprimeable number, because it can be changed into a prime (1122000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452464 + ... + 454936.

Almost surely, 2^1122000100 is an apocalyptic number.

1122000100 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 1122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315302100).

1122000100 is an abundant number, since it is smaller than the sum of its proper divisors (1508604100).

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

1122000100 is a wasteful number, since it uses less digits than its factorization.

1122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1122000100 is about 33496.2699415920. The cubic root of 1122000100 is about 1039.1166377167.

Adding to 1122000100 its reverse (10002211), we get a palindrome (1132002311).

The spelling of 1122000100 in words is "one billion, one hundred twenty-two million, one hundred", and thus it is an aban number.