2111020210000 has 200 divisors, whose sum is σ = 5608014267240. Its totient is φ = 764744448000.

The previous prime is 2111020209989. The next prime is 2111020210073. The reversal of 2111020210000 is 120201112.

It can be written as a sum of positive squares in 20 ways, for example, as 2056596919056 + 54423290944 = 1434084^2 + 233288^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6736806 + ... + 7043194.

Almost surely, 2^{2111020210000} is an apocalyptic number.

2111020210000 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 2111020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804007133620).

2111020210000 is an abundant number, since it is smaller than the sum of its proper divisors (3496994057240).

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

2111020210000 is a wasteful number, since it uses less digits than its factorization.

2111020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306483 (or 306462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2111020210000 its reverse (120201112), we get a palindrome (2111140411112).

The spelling of 2111020210000 in words is "two trillion, one hundred eleven billion, twenty million, two hundred ten thousand".