1121211121100 has 72 divisors (see below), whose sum is σ = 2780815453920. Its totient is φ = 384385950720.

The previous prime is 1121211121091. The next prime is 1121211121127. The reversal of 1121211121100 is 11211121211.

It is a super-2 number, since 2×1121211121100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10416356 + ... + 10523444.

It is an arithmetic number, because the mean of its divisors is an integer number (38622436860).

Almost surely, 2^{1121211121100} is an apocalyptic number.

1121211121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121211121100 is an abundant number, since it is smaller than the sum of its proper divisors (1659604332820).

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

1121211121100 is a wasteful number, since it uses less digits than its factorization.

1121211121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122067 (or 122060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1121211121100 its reverse (11211121211), we get a palindrome (1132422242311).

It can be divided in two parts, 11212111 and 21100, that added together give a palindrome (11233211).

The spelling of 1121211121100 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".