1122020100 has 180 divisors, whose sum is σ = 3690263808. Its totient is φ = 294840000.

The previous prime is 1122020089. The next prime is 1122020131. The reversal of 1122020100 is 10202211.

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 574125 + ... + 576075.

Almost surely, 2^1122020100 is an apocalyptic number.

1122020100 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 1122020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845131904).

1122020100 is an abundant number, since it is smaller than the sum of its proper divisors (2568243708).

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

1122020100 is a wasteful number, since it uses less digits than its factorization.

1122020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122020100 is about 33496.5684809653. The cubic root of 1122020100 is about 1039.1228118722.

Adding to 1122020100 its reverse (10202211), we get a palindrome (1132222311).

The spelling of 1122020100 in words is "one billion, one hundred twenty-two million, twenty thousand, one hundred".