1100121122100 has 864 divisors, whose sum is σ = 4422949635328. Its totient is φ = 205286400000.

The previous prime is 1100121122083. The next prime is 1100121122119. The reversal of 1100121122100 is 12211210011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122217600 + ... + 122226600.

Almost surely, 2^{1100121122100} is an apocalyptic number.

1100121122100 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 1100121122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211474817664).

1100121122100 is an abundant number, since it is smaller than the sum of its proper divisors (3322828513228).

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

1100121122100 is a wasteful number, since it uses less digits than its factorization.

1100121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9097 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100121122100 its reverse (12211210011), we get a palindrome (1112332332111).

It can be divided in two parts, 1100121 and 122100, that added together give a palindrome (1222221).

The spelling of 1100121122100 in words is "one trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".