110111012001100 has 36 divisors (see below), whose sum is σ = 260662795685208. Its totient is φ = 40040368000000.

The previous prime is 110111012001097. The next prime is 110111012001103. The reversal of 110111012001100 is 1100210111011.

It is an interprime number because it is at equal distance from previous prime (110111012001097) and next prime (110111012001103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110111012001103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50050458901 + ... + 50050461100.

It is an arithmetic number, because the mean of its divisors is an integer number (7240633213478).

Almost surely, 2^{110111012001100} is an apocalyptic number.

110111012001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111012001100 is an abundant number, since it is smaller than the sum of its proper divisors (150551783684108).

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

110111012001100 is a wasteful number, since it uses less digits than its factorization.

110111012001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100100920026 (or 100100920019 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110111012001100 its reverse (1100210111011), we get a palindrome (111211222112111).

The spelling of 110111012001100 in words is "one hundred ten trillion, one hundred eleven billion, twelve million, one thousand, one hundred".