22200101220000 has 960 divisors, whose sum is σ = 84142703715840. Its totient is φ = 5066841600000.

The previous prime is 22200101219993. The next prime is 22200101220007. The reversal of 22200101220000 is 2210100222.

It is an interprime number because it is at equal distance from previous prime (22200101219993) and next prime (22200101220007).

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

It is not an unprimeable number, because it can be changed into a prime (22200101220007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2044014570 + ... + 2044025430.

It is an arithmetic number, because the mean of its divisors is an integer number (87648649704).

Almost surely, 2^{22200101220000} is an apocalyptic number.

22200101220000 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 22200101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42071351857920).

22200101220000 is an abundant number, since it is smaller than the sum of its proper divisors (61942602495840).

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

22200101220000 is a wasteful number, since it uses less digits than its factorization.

22200101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11087 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22200101220000 its reverse (2210100222), we get a palindrome (22202311320222).

The spelling of 22200101220000 in words is "twenty-two trillion, two hundred billion, one hundred one million, two hundred twenty thousand".