1121012100 has 108 divisors (see below), whose sum is σ = 3784078116. Its totient is φ = 275938560.

The previous prime is 1121012099. The next prime is 1121012131. The reversal of 1121012100 is 12101211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 376049664 + 744962436 = 19392^2 + 27294^2 .

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 35 ways as a sum of consecutive naturals, for example, 36207 + ... + 59606.

Almost surely, 2^1121012100 is an apocalyptic number.

1121012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121012100 is an abundant number, since it is smaller than the sum of its proper divisors (2663066016).

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

1121012100 is a wasteful number, since it uses less digits than its factorization.

1121012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95846 (or 95836 counting only the distinct ones).

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

The square root of 1121012100 is about 33481.5187827554. The cubic root of 1121012100 is about 1038.8115430527.

Adding to 1121012100 its reverse (12101211), we get a palindrome (1133113311).

The spelling of 1121012100 in words is "one billion, one hundred twenty-one million, twelve thousand, one hundred".