112102211021000 has 128 divisors (see below), whose sum is σ = 268213040035200. Its totient is φ = 43839365356800.

The previous prime is 112102211020991. The next prime is 112102211021011. The reversal of 112102211021000 is 120112201211.

It is a super-3 number, since 3×112102211021000³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11262011 + ... + 18735989.

It is an arithmetic number, because the mean of its divisors is an integer number (2095414375275).

Almost surely, 2^{112102211021000} is an apocalyptic number.

112102211021000 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 112102211021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134106520017600).

112102211021000 is an abundant number, since it is smaller than the sum of its proper divisors (156110829014200).

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

112102211021000 is a wasteful number, since it uses less digits than its factorization.

112102211021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7474336 (or 7474322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112102211021000 its reverse (120112201211), we get a palindrome (112222323222211).

The spelling of 112102211021000 in words is "one hundred twelve trillion, one hundred two billion, two hundred eleven million, twenty-one thousand".