2101220112000 has 512 divisors, whose sum is σ = 7150407264000. Its totient is φ = 545539276800.

The previous prime is 2101220111993. The next prime is 2101220112007. The reversal of 2101220112000 is 2110221012.

It is an interprime number because it is at equal distance from previous prime (2101220111993) and next prime (2101220112007).

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

It is not an unprimeable number, because it can be changed into a prime (2101220112007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720334542 + ... + 720337458.

Almost surely, 2^{2101220112000} is an apocalyptic number.

2101220112000 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 2101220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575203632000).

2101220112000 is an abundant number, since it is smaller than the sum of its proper divisors (5049187152000).

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

2101220112000 is a wasteful number, since it uses less digits than its factorization.

2101220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101220112000 its reverse (2110221012), we get a palindrome (2103330333012).

The spelling of 2101220112000 in words is "two trillion, one hundred one billion, two hundred twenty million, one hundred twelve thousand".