1101234341100 has 288 divisors, whose sum is σ = 3303196137472. Its totient is φ = 283046400000.

The previous prime is 1101234341089. The next prime is 1101234341171. The reversal of 1101234341100 is 11434321011.

It is a super-2 number, since 2×1101234341100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564445125 + ... + 564447075.

Almost surely, 2^{1101234341100} is an apocalyptic number.

1101234341100 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 1101234341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651598068736).

1101234341100 is an abundant number, since it is smaller than the sum of its proper divisors (2201961796372).

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

1101234341100 is a wasteful number, since it uses less digits than its factorization.

1101234341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1101234341100 its reverse (11434321011), we get a palindrome (1112668662111).

The spelling of 1101234341100 in words is "one trillion, one hundred one billion, two hundred thirty-four million, three hundred forty-one thousand, one hundred".