111002001001100 has 108 divisors (see below), whose sum is σ = 264940085842992. Its totient is φ = 40337321692800.

The previous prime is 111002001001091. The next prime is 111002001001127. The reversal of 111002001001100 is 1100100200111.

It is a happy number.

It is a super-3 number, since 3×111002001001100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14993057 + ... + 21137543.

Almost surely, 2^{111002001001100} is an apocalyptic number.

111002001001100 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 111002001001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132470042921496).

111002001001100 is an abundant number, since it is smaller than the sum of its proper divisors (153938084841892).

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

111002001001100 is a wasteful number, since it uses less digits than its factorization.

111002001001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146016 (or 6145998 counting only the distinct ones).

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

Adding to 111002001001100 its reverse (1100100200111), we get a palindrome (112102101201211).

The spelling of 111002001001100 in words is "one hundred eleven trillion, two billion, one million, one thousand, one hundred".