22100220212000 has 384 divisors, whose sum is σ = 63535825446912. Its totient is φ = 7398521856000.

The previous prime is 22100220211967. The next prime is 22100220212011. The reversal of 22100220212000 is 21202200122.

It is a super-3 number, since 3×22100220212000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233948777 + ... + 234043223.

It is an arithmetic number, because the mean of its divisors is an integer number (165457878768).

Almost surely, 2^{22100220212000} is an apocalyptic number.

22100220212000 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 22100220212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767912723456).

22100220212000 is an abundant number, since it is smaller than the sum of its proper divisors (41435605234912).

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

22100220212000 is a wasteful number, since it uses less digits than its factorization.

22100220212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94677 (or 94659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22100220212000 its reverse (21202200122), we get a palindrome (22121422412122).

The spelling of 22100220212000 in words is "twenty-two trillion, one hundred billion, two hundred twenty million, two hundred twelve thousand".