1122110100 has 216 divisors, whose sum is σ = 3732205568. Its totient is φ = 281491200.

The previous prime is 1122110071. The next prime is 1122110111. The reversal of 1122110100 is 10112211.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 1031757 + ... + 1032843.

Almost surely, 2^1122110100 is an apocalyptic number.

1122110100 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 1122110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866102784).

1122110100 is an abundant number, since it is smaller than the sum of its proper divisors (2610095468).

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

1122110100 is a wasteful number, since it uses less digits than its factorization.

1122110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1122110100 is about 33497.9118752199. The cubic root of 1122110100 is about 1039.1505946640.

Adding to 1122110100 its reverse (10112211), we get a palindrome (1132222311).

It can be divided in two parts, 11221 and 10100, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 1122110100 in words is "one billion, one hundred twenty-two million, one hundred ten thousand, one hundred".