2111121111000 has 512 divisors, whose sum is σ = 7450773258240. Its totient is φ = 493041600000.

The previous prime is 2111121110957. The next prime is 2111121111017. The reversal of 2111121111000 is 1111211112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 232216455 + ... + 232225545.

It is an arithmetic number, because the mean of its divisors is an integer number (14552291520).

Almost surely, 2^{2111121111000} is an apocalyptic number.

2111121111000 is a gapful number since it is divisible by the number (20) 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 2111121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725386629120).

2111121111000 is an abundant number, since it is smaller than the sum of its proper divisors (5339652147240).

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

2111121111000 is a wasteful number, since it uses less digits than its factorization.

2111121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111121111000 its reverse (1111211112), we get a palindrome (2112232322112).

It can be divided in two parts, 211 and 1121111000, that added together give a palindrome (1121111211).

The spelling of 2111121111000 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand".