110111101122100 has 144 divisors (see below), whose sum is σ = 263003396424048. Its totient is φ = 39763462901760.

The previous prime is 110111101122017. The next prime is 110111101122131. The reversal of 110111101122100 is 1221101111011.

It can be written as a sum of positive squares in 24 ways, for example, as 109249571871504 + 861529250596 = 10452252^2 + 928186^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19320592 + ... + 24362008.

It is an arithmetic number, because the mean of its divisors is an integer number (1826412475167).

Almost surely, 2^{110111101122100} is an apocalyptic number.

110111101122100 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 110111101122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131501698212024).

110111101122100 is an abundant number, since it is smaller than the sum of its proper divisors (152892295301948).

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

110111101122100 is a wasteful number, since it uses less digits than its factorization.

110111101122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041814 (or 5041807 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110111101122100 its reverse (1221101111011), we get a palindrome (111332202233111).

The spelling of 110111101122100 in words is "one hundred ten trillion, one hundred eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred".