22100220201000 has 512 divisors, whose sum is σ = 75361273827840. Its totient is φ = 5370060800000.

The previous prime is 22100220200999. The next prime is 22100220201001. The reversal of 22100220201000 is 10202200122.

It is an interprime number because it is at equal distance from previous prime (22100220200999) and next prime (22100220201001).

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 (22100220201001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273880660 + ... + 273961340.

It is an arithmetic number, because the mean of its divisors is an integer number (147189987945).

Almost surely, 2^{22100220201000} is an apocalyptic number.

22100220201000 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 22100220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37680636913920).

22100220201000 is an abundant number, since it is smaller than the sum of its proper divisors (53261053626840).

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

22100220201000 is a wasteful number, since it uses less digits than its factorization.

22100220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80894 (or 80880 counting only the distinct ones).

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

Adding to 22100220201000 its reverse (10202200122), we get a palindrome (22110422401122).

The spelling of 22100220201000 in words is "twenty-two trillion, one hundred billion, two hundred twenty million, two hundred one thousand".