22101201000120 has 576 divisors, whose sum is σ = 75123545333760. Its totient is φ = 5197657512960.

The previous prime is 22101201000103. The next prime is 22101201000133. The reversal of 22101201000120 is 2100010210122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22101201000096 and 22101201000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7613226589 + ... + 7613229491.

It is an arithmetic number, because the mean of its divisors is an integer number (130422821760).

Almost surely, 2^{22101201000120} is an apocalyptic number.

22101201000120 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 22101201000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37561772666880).

22101201000120 is an abundant number, since it is smaller than the sum of its proper divisors (53022344333640).

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

22101201000120 is a wasteful number, since it uses less digits than its factorization.

22101201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3344 counting only the distinct ones).

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

Adding to 22101201000120 its reverse (2100010210122), we get a palindrome (24201211210242).

The spelling of 22101201000120 in words is "twenty-two trillion, one hundred one billion, two hundred one million, one hundred twenty", and thus it is an aban number.