22211110102000 has 160 divisors (see below), whose sum is σ = 54644115749184. Its totient is φ = 8729994240000.

The previous prime is 22211110101977. The next prime is 22211110102003. The reversal of 22211110102000 is 20101111222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211110102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53527324 + ... + 53940676.

Almost surely, 2^{22211110102000} is an apocalyptic number.

22211110102000 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 22211110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322057874592).

22211110102000 is an abundant number, since it is smaller than the sum of its proper divisors (32433005647184).

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

22211110102000 is a wasteful number, since it uses less digits than its factorization.

22211110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413844 (or 413828 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22211110102000 its reverse (20101111222), we get a palindrome (22231211213222).

The spelling of 22211110102000 in words is "twenty-two trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand".