22101111121000 has 256 divisors, whose sum is σ = 52316595601920. Its totient is φ = 8738714880000.

The previous prime is 22101111120997. The next prime is 22101111121009. The reversal of 22101111121000 is 12111110122.

It is a happy number.

It is a super-2 number, since 2×22101111121000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22101111121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26854326589 + ... + 26854327411.

It is an arithmetic number, because the mean of its divisors is an integer number (204361701570).

Almost surely, 2^{22101111121000} is an apocalyptic number.

22101111121000 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 22101111121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26158297800960).

22101111121000 is an abundant number, since it is smaller than the sum of its proper divisors (30215484480920).

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

22101111121000 is a wasteful number, since it uses less digits than its factorization.

22101111121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 22101111121000 its reverse (12111110122), we get a palindrome (22113222231122).

The spelling of 22101111121000 in words is "twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred twenty-one thousand".