1101111100100 has 288 divisors, whose sum is σ = 2690689784832. Its totient is φ = 387763200000.

The previous prime is 1101111100073. The next prime is 1101111100171. The reversal of 1101111100100 is 10011111011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1111110605 + ... + 1111111595.

It is an arithmetic number, because the mean of its divisors is an integer number (9342672864).

Almost surely, 2^{1101111100100} is an apocalyptic number.

1101111100100 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 1101111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345344892416).

1101111100100 is an abundant number, since it is smaller than the sum of its proper divisors (1589578684732).

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

1101111100100 is a wasteful number, since it uses less digits than its factorization.

1101111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1101111100100 its reverse (10011111011), we get a palindrome (1111122211111).

It can be divided in two parts, 11011 and 11100100, that added together give a palindrome (11111111).

The spelling of 1101111100100 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one hundred".