1122101100 has 216 divisors, whose sum is σ = 3712120048. Its totient is φ = 293932800.

The previous prime is 1122101093. The next prime is 1122101119. The reversal of 1122101100 is 11012211.

It is a happy number.

1122101100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1122101100² = 2518221757242420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1481922 + ... + 1482678.

Almost surely, 2^1122101100 is an apocalyptic number.

1122101100 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 1122101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856060024).

1122101100 is an abundant number, since it is smaller than the sum of its proper divisors (2590018948).

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

1122101100 is a wasteful number, since it uses less digits than its factorization.

1122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 828 counting only the distinct ones).

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

The square root of 1122101100 is about 33497.7775382189. Note that the first 3 decimals coincide. The cubic root of 1122101100 is about 1039.1478164517.

Adding to 1122101100 its reverse (11012211), we get a palindrome (1133113311).

Subtracting from 1122101100 its reverse (11012211), we obtain a square (1111088889 = 33333²).

The spelling of 1122101100 in words is "one billion, one hundred twenty-two million, one hundred one thousand, one hundred".