1121142100 has 36 divisors (see below), whose sum is σ = 2620025884. Its totient is φ = 413959680.

The previous prime is 1121142091. The next prime is 1121142109. The reversal of 1121142100 is 12411211.

It is an interprime number because it is at equal distance from previous prime (1121142091) and next prime (1121142109).

It can be written as a sum of positive squares in 6 ways, for example, as 218980804 + 902161296 = 14798^2 + 30036^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121142109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429909 + ... + 432508.

Almost surely, 2^1121142100 is an apocalyptic number.

1121142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121142100 is an abundant number, since it is smaller than the sum of its proper divisors (1498883784).

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

1121142100 is a wasteful number, since it uses less digits than its factorization.

1121142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862444 (or 862437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1121142100 is about 33483.4600959937. The cubic root of 1121142100 is about 1038.8516973265.

Adding to 1121142100 its reverse (12411211), we get a palindrome (1133553311).

The spelling of 1121142100 in words is "one billion, one hundred twenty-one million, one hundred forty-two thousand, one hundred".