22301012100120 has 768 divisors, whose sum is σ = 75690567106560. Its totient is φ = 5249252376576.

The previous prime is 22301012100091. The next prime is 22301012100151. The reversal of 22301012100120 is 2100121010322.

It is a super-3 number, since 3×22301012100120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22301012100120.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 20979314709 + ... + 20979315771.

It is an arithmetic number, because the mean of its divisors is an integer number (98555425920).

Almost surely, 2^{22301012100120} is an apocalyptic number.

22301012100120 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 22301012100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37845283553280).

22301012100120 is an abundant number, since it is smaller than the sum of its proper divisors (53389555006440).

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

22301012100120 is a wasteful number, since it uses less digits than its factorization.

22301012100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22301012100120 its reverse (2100121010322), we get a palindrome (24401133110442).

It can be divided in two parts, 223010 and 12100120, that added together give a triangular number (12323130 = T₄₉₆₄).

The spelling of 22301012100120 in words is "twenty-two trillion, three hundred one billion, twelve million, one hundred thousand, one hundred twenty".