1121111002100 has 36 divisors (see below), whose sum is σ = 2433090462348. Its totient is φ = 448392864000.

The previous prime is 1121111002043. The next prime is 1121111002127. The reversal of 1121111002100 is 12001111211.

It can be written as a sum of positive squares in 6 ways, for example, as 118461249124 + 1002649752976 = 344182^2 + 1001324^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236270 + ... + 1515930.

Almost surely, 2^{1121111002100} is an apocalyptic number.

1121111002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121111002100 is an abundant number, since it is smaller than the sum of its proper divisors (1311979460248).

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

1121111002100 is a wasteful number, since it uses less digits than its factorization.

1121111002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288436 (or 1288429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1121111002100 its reverse (12001111211), we get a palindrome (1133112113311).

The spelling of 1121111002100 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, two thousand, one hundred".