1122111110100 has 144 divisors (see below), whose sum is σ = 3389052697856. Its totient is φ = 286369344000.

The previous prime is 1122111110051. The next prime is 1122111110119. The reversal of 1122111110100 is 10111112211.

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 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, 151516 + ... + 1505715.

Almost surely, 2^{1122111110100} is an apocalyptic number.

1122111110100 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 1122111110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694526348928).

1122111110100 is an abundant number, since it is smaller than the sum of its proper divisors (2266941587756).

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

1122111110100 is a wasteful number, since it uses less digits than its factorization.

1122111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657346 (or 1657339 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1122111110100 its reverse (10111112211), we get a palindrome (1132222222311).

The spelling of 1122111110100 in words is "one trillion, one hundred twenty-two billion, one hundred eleven million, one hundred ten thousand, one hundred".