110012100211000 has 256 divisors, whose sum is σ = 280258851600000. Its totient is φ = 40176646963200.

The previous prime is 110012100210989. The next prime is 110012100211003. The reversal of 110012100211000 is 112001210011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012100211003) by changing a digit.

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, 2142413326 + ... + 2142464674.

Almost surely, 2^{110012100211000} is an apocalyptic number.

110012100211000 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 110012100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140129425800000).

110012100211000 is an abundant number, since it is smaller than the sum of its proper divisors (170246751389000).

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

110012100211000 is a wasteful number, since it uses less digits than its factorization.

110012100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53179 (or 53165 counting only the distinct ones).

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

Adding to 110012100211000 its reverse (112001210011), we get a palindrome (110124101421011).

The spelling of 110012100211000 in words is "one hundred ten trillion, twelve billion, one hundred million, two hundred eleven thousand".