110100021000112 has 320 divisors, whose sum is σ = 266240590761600. Its totient is φ = 43333357731840.

The previous prime is 110100021000103. The next prime is 110100021000127. The reversal of 110100021000112 is 211000120001011.

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 63 ways as a sum of consecutive naturals, for example, 31305093778 + ... + 31305097294.

It is an arithmetic number, because the mean of its divisors is an integer number (832001846130).

Almost surely, 2^{110100021000112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100021000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133120295380800).

110100021000112 is an abundant number, since it is smaller than the sum of its proper divisors (156140569761488).

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

110100021000112 is a wasteful number, since it uses less digits than its factorization.

110100021000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110100021000112 its reverse (211000120001011), we get a palindrome (321100141001123).

The spelling of 110100021000112 in words is "one hundred ten trillion, one hundred billion, twenty-one million, one hundred twelve", and thus it is an aban number.