1122121100100 has 864 divisors, whose sum is σ = 4511388974848. Its totient is φ = 209392128000.

The previous prime is 1122121100053. The next prime is 1122121100119. The reversal of 1122121100100 is 10011212211.

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

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, 122217510 + ... + 122226690.

Almost surely, 2^{1122121100100} is an apocalyptic number.

1122121100100 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 1122121100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255694487424).

1122121100100 is an abundant number, since it is smaller than the sum of its proper divisors (3389267874748).

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

1122121100100 is a wasteful number, since it uses less digits than its factorization.

1122121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9259 counting only the distinct ones).

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

Adding to 1122121100100 its reverse (10011212211), we get a palindrome (1132132312311).

It can be divided in two parts, 1122121 and 100100, that added together give a palindrome (1222221).

The spelling of 1122121100100 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, one hundred".