22001100120100 has 144 divisors (see below), whose sum is σ = 51881676582400. Its totient is φ = 8067475584000.

The previous prime is 22001100120059. The next prime is 22001100120107. The reversal of 22001100120100 is 102100110022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22001100120107) 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, 1024201360 + ... + 1024222840.

Almost surely, 2^{22001100120100} is an apocalyptic number.

22001100120100 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 22001100120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25940838291200).

22001100120100 is an abundant number, since it is smaller than the sum of its proper divisors (29880576462300).

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

22001100120100 is a wasteful number, since it uses less digits than its factorization.

22001100120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38934 (or 38927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22001100120100 its reverse (102100110022), we get a palindrome (22103200230122).

The spelling of 22001100120100 in words is "twenty-two trillion, one billion, one hundred million, one hundred twenty thousand, one hundred".