2111012211000 has 512 divisors, whose sum is σ = 8292957603840. Its totient is φ = 434304000000.

The previous prime is 2111012210999. The next prime is 2111012211001. The reversal of 2111012211000 is 1122101112.

It is an interprime number because it is at equal distance from previous prime (2111012210999) and next prime (2111012211001).

It is a super-2 number, since 2×2111012211000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111012211001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23285760 + ... + 23376240.

It is an arithmetic number, because the mean of its divisors is an integer number (16197182820).

Almost surely, 2^{2111012211000} is an apocalyptic number.

2111012211000 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 2111012211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146478801920).

2111012211000 is an abundant number, since it is smaller than the sum of its proper divisors (6181945392840).

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

2111012211000 is a wasteful number, since it uses less digits than its factorization.

2111012211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90624 (or 90610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111012211000 its reverse (1122101112), we get a palindrome (2112134312112).

The spelling of 2111012211000 in words is "two trillion, one hundred eleven billion, twelve million, two hundred eleven thousand".