110400214010100 has 288 divisors, whose sum is σ = 367564357042176. Its totient is φ = 25061076864000.

The previous prime is 110400214009993. The next prime is 110400214010161. The reversal of 110400214010100 is 1010412004011.

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 110400214010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362538189 + ... + 1362619211.

Almost surely, 2^{110400214010100} is an apocalyptic number.

110400214010100 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 110400214010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183782178521088).

110400214010100 is an abundant number, since it is smaller than the sum of its proper divisors (257164143032076).

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

110400214010100 is a wasteful number, since it uses less digits than its factorization.

110400214010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85495 (or 85488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110400214010100 its reverse (1010412004011), we get a palindrome (111410626014111).

The spelling of 110400214010100 in words is "one hundred ten trillion, four hundred billion, two hundred fourteen million, ten thousand, one hundred".