110212112111100 has 144 divisors (see below), whose sum is σ = 339087140971488. Its totient is φ = 27542361743360.

The previous prime is 110212112111093. The next prime is 110212112111131. The reversal of 110212112111100 is 1111211212011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110212112111100.

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, 45185559 + ... + 47562158.

It is an arithmetic number, because the mean of its divisors is an integer number (2354771812302).

Almost surely, 2^{110212112111100} is an apocalyptic number.

110212112111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212112111100 is an abundant number, since it is smaller than the sum of its proper divisors (228875028860388).

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

110212112111100 is a wasteful number, since it uses less digits than its factorization.

110212112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92747984 (or 92747977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110212112111100 its reverse (1111211212011), we get a palindrome (111323323323111).

The spelling of 110212112111100 in words is "one hundred ten trillion, two hundred twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred".