1100001122100 has 288 divisors, whose sum is σ = 3734444313600. Its totient is φ = 276997449600.

The previous prime is 1100001122083. The next prime is 1100001122107. The reversal of 1100001122100 is 12211000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100001122107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15919827 + ... + 15988773.

Almost surely, 2^{1100001122100} is an apocalyptic number.

1100001122100 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 1100001122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867222156800).

1100001122100 is an abundant number, since it is smaller than the sum of its proper divisors (2634443191500).

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

1100001122100 is a wasteful number, since it uses less digits than its factorization.

1100001122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69300 (or 69287 counting only the distinct ones).

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

Adding to 1100001122100 its reverse (12211000011), we get a palindrome (1112212122111).

It can be divided in two parts, 110000 and 1122100, that added together give a square (1232100 = 1110²).

The spelling of 1100001122100 in words is "one trillion, one hundred billion, one million, one hundred twenty-two thousand, one hundred".