22211000112100 has 216 divisors, whose sum is σ = 51510355813728. Its totient is φ = 8311046515200.

The previous prime is 22211000112097. The next prime is 22211000112151. The reversal of 22211000112100 is 121100011222.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1209015915 + ... + 1209034285.

It is an arithmetic number, because the mean of its divisors is an integer number (238473869508).

Almost surely, 2^{22211000112100} is an apocalyptic number.

22211000112100 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 22211000112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25755177906864).

22211000112100 is an abundant number, since it is smaller than the sum of its proper divisors (29299355701628).

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

22211000112100 is a wasteful number, since it uses less digits than its factorization.

22211000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18843 (or 18817 counting only the distinct ones).

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

Adding to 22211000112100 its reverse (121100011222), we get a palindrome (22332100123322).

The spelling of 22211000112100 in words is "twenty-two trillion, two hundred eleven billion, one hundred twelve thousand, one hundred".