22101212111220 has 576 divisors, whose sum is σ = 80102650118400. Its totient is φ = 4871075512320.

The previous prime is 22101212111201. The next prime is 22101212111263. The reversal of 22101212111220 is 2211121210122.

22101212111220 is a `hidden beast` number, since 2 + 210 + 1 + 21 + 211 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22101212111193 and 22101212111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173049546 + ... + 173177214.

It is an arithmetic number, because the mean of its divisors is an integer number (139067100900).

Almost surely, 2^{22101212111220} is an apocalyptic number.

22101212111220 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 22101212111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40051325059200).

22101212111220 is an abundant number, since it is smaller than the sum of its proper divisors (58001438007180).

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

22101212111220 is a wasteful number, since it uses less digits than its factorization.

22101212111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127888 (or 127883 counting only the distinct ones).

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

Adding to 22101212111220 its reverse (2211121210122), we get a palindrome (24312333321342).

The spelling of 22101212111220 in words is "twenty-two trillion, one hundred one billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".