22100334154400 has 144 divisors (see below), whose sum is σ = 54169865031744. Its totient is φ = 8804524001280.

The previous prime is 22100334154369. The next prime is 22100334154403. The reversal of 22100334154400 is 445143300122.

It is a super-2 number, since 2×22100334154400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22100334154403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229358212 + ... + 1229376188.

It is an arithmetic number, because the mean of its divisors is an integer number (376179618276).

Almost surely, 2^{22100334154400} is an apocalyptic number.

22100334154400 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 22100334154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27084932515872).

22100334154400 is an abundant number, since it is smaller than the sum of its proper divisors (32069530877344).

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

22100334154400 is a wasteful number, since it uses less digits than its factorization.

22100334154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24103 (or 24090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 22100334154400 its reverse (445143300122), we get a palindrome (22545477454522).

The spelling of 22100334154400 in words is "twenty-two trillion, one hundred billion, three hundred thirty-four million, one hundred fifty-four thousand, four hundred".