112100021111000 has 512 divisors, whose sum is σ = 290783001600000. Its totient is φ = 40198087987200.

The previous prime is 112100021110991. The next prime is 112100021111051. The reversal of 112100021111000 is 111120001211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18189193919 + ... + 18189200081.

It is an arithmetic number, because the mean of its divisors is an integer number (567935550000).

Almost surely, 2^{112100021111000} is an apocalyptic number.

112100021111000 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 112100021111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145391500800000).

112100021111000 is an abundant number, since it is smaller than the sum of its proper divisors (178682980489000).

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

112100021111000 is a wasteful number, since it uses less digits than its factorization.

112100021111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112100021111000 its reverse (111120001211), we get a palindrome (112211141112211).

The spelling of 112100021111000 in words is "one hundred twelve trillion, one hundred billion, twenty-one million, one hundred eleven thousand".