211221010000112 has 80 divisors (see below), whose sum is σ = 471416926052352. Its totient is φ = 89804686728960.

The previous prime is 211221010000111. The next prime is 211221010000153. The reversal of 211221010000112 is 211000010122112.

It is a super-2 number, since 2×211221010000112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221010000111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 222601562 + ... + 223548422.

Almost surely, 2^{211221010000112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221010000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235708463026176).

211221010000112 is an abundant number, since it is smaller than the sum of its proper divisors (260195916052240).

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

211221010000112 is a wasteful number, since it uses less digits than its factorization.

211221010000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962686 (or 962680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211221010000112 its reverse (211000010122112), we get a palindrome (422221020122224).

The spelling of 211221010000112 in words is "two hundred eleven trillion, two hundred twenty-one billion, ten million, one hundred twelve", and thus it is an aban number.