1011122100 has 108 divisors (see below), whose sum is σ = 3176570124. Its totient is φ = 269015040.

The previous prime is 1011122017. The next prime is 1011122129. The reversal of 1011122100 is 12211101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37307664 + 973814436 = 6108^2 + 31206^2 .

It is a super-2 number, since 2×1011122100² = 2044735802216820000, 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 an unprimeable number.

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, 500292 + ... + 502308.

Almost surely, 2^1011122100 is an apocalyptic number.

1011122100 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 1011122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588285062).

1011122100 is an abundant number, since it is smaller than the sum of its proper divisors (2165448024).

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

1011122100 is a wasteful number, since it uses less digits than its factorization.

1011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2584 counting only the distinct ones).

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

The square root of 1011122100 is about 31798.1461723793. The cubic root of 1011122100 is about 1003.6937064014.

Adding to 1011122100 its reverse (12211101), we get a palindrome (1023333201).

The spelling of 1011122100 in words is "one billion, eleven million, one hundred twenty-two thousand, one hundred".