1102121211100 has 144 divisors (see below), whose sum is σ = 2944055123968. Its totient is φ = 348738773760.

The previous prime is 1102121211071. The next prime is 1102121211161. The reversal of 1102121211100 is 11121212011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 83595109 + ... + 83608291.

Almost surely, 2^{1102121211100} is an apocalyptic number.

1102121211100 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 1102121211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472027561984).

1102121211100 is an abundant number, since it is smaller than the sum of its proper divisors (1841933912868).

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

1102121211100 is a wasteful number, since it uses less digits than its factorization.

1102121211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22404 (or 22397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1102121211100 its reverse (11121212011), we get a palindrome (1113242423111).

The spelling of 1102121211100 in words is "one trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".