22102212210000 has 800 divisors, whose sum is σ = 81555586358400. Its totient is φ = 5108023296000.

The previous prime is 22102212209923. The next prime is 22102212210019. The reversal of 22102212210000 is 1221220122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 2870786151 + ... + 2870793849.

It is an arithmetic number, because the mean of its divisors is an integer number (101944482948).

Almost surely, 2^{22102212210000} is an apocalyptic number.

22102212210000 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 22102212210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777793179200).

22102212210000 is an abundant number, since it is smaller than the sum of its proper divisors (59453374148400).

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

22102212210000 is a wasteful number, since it uses less digits than its factorization.

22102212210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102212210000 its reverse (1221220122), we get a palindrome (22103433430122).

The spelling of 22102212210000 in words is "twenty-two trillion, one hundred two billion, two hundred twelve million, two hundred ten thousand".