1111012100 has 108 divisors (see below), whose sum is σ = 2720232144. Its totient is φ = 390600000.

The previous prime is 1111012087. The next prime is 1111012109. The reversal of 1111012100 is 12101111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1111012109) by changing a digit.

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, 1056575 + ... + 1057625.

Almost surely, 2^1111012100 is an apocalyptic number.

1111012100 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 1111012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360116072).

1111012100 is an abundant number, since it is smaller than the sum of its proper divisors (1609220044).

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

1111012100 is a wasteful number, since it uses less digits than its factorization.

1111012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1111012100 is about 33331.8481335794. The cubic root of 1111012100 is about 1035.7134026831.

Adding to 1111012100 its reverse (12101111), we get a palindrome (1123113211).

The spelling of 1111012100 in words is "one billion, one hundred eleven million, twelve thousand, one hundred".