22102122101000 has 128 divisors (see below), whose sum is σ = 52633084608000. Its totient is φ = 8684803072000.

The previous prime is 22102122100979. The next prime is 22102122101047. The reversal of 22102122101000 is 10122120122.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 82998065 + ... + 83263935.

It is an arithmetic number, because the mean of its divisors is an integer number (411195973500).

Almost surely, 2^{22102122101000} is an apocalyptic number.

22102122101000 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 22102122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316542304000).

22102122101000 is an abundant number, since it is smaller than the sum of its proper divisors (30530962507000).

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

22102122101000 is a wasteful number, since it uses less digits than its factorization.

22102122101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267360 (or 267346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22102122101000 its reverse (10122120122), we get a palindrome (22112244221122).

The spelling of 22102122101000 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand".