10211221120212 has 144 divisors (see below), whose sum is σ = 29657581105152. Its totient is φ = 2901833605440.

The previous prime is 10211221120211. The next prime is 10211221120223. The reversal of 10211221120212 is 21202112211201.

10211221120212 is a `hidden beast` number, since 1 + 0 + 211 + 221 + 1 + 20 + 212 = 666.

It is a super-2 number, since 2×10211221120212² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211221120211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85387653 + ... + 85507155.

Almost surely, 2^{10211221120212} is an apocalyptic number.

10211221120212 is a gapful number since it is divisible by the number (12) 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 10211221120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14828790552576).

10211221120212 is an abundant number, since it is smaller than the sum of its proper divisors (19446359984940).

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

10211221120212 is a wasteful number, since it uses less digits than its factorization.

10211221120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121338 (or 121333 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211221120212 its reverse (21202112211201), we get a palindrome (31413333331413).

The spelling of 10211221120212 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twelve".