110010021000000 has 1568 divisors, whose sum is σ = 414046450137600. Its totient is φ = 25533312000000.

The previous prime is 110010020999939. The next prime is 110010021000001. The reversal of 110010021000000 is 120010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010021000001) 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 223 ways as a sum of consecutive naturals, for example, 133022999587 + ... + 133023000413.

Almost surely, 2^{110010021000000} is an apocalyptic number.

110010021000000 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 110010021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207023225068800).

110010021000000 is an abundant number, since it is smaller than the sum of its proper divisors (304036429137600).

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

110010021000000 is an equidigital number, since it uses as much as digits as its factorization.

110010021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110010021000000 its reverse (120010011), we get a palindrome (110010141010011).

The spelling of 110010021000000 in words is "one hundred ten trillion, ten billion, twenty-one million", and thus it is an aban number.