10222221221984 has 96 divisors (see below), whose sum is σ = 20647258097760. Its totient is φ = 4979851149312.

The previous prime is 10222221221983. The next prime is 10222221222089. The reversal of 10222221221984 is 48912212222201.

It is a happy number.

It is a super-2 number, since 2×10222221221984² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222221221983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502977647 + ... + 502997969.

It is an arithmetic number, because the mean of its divisors is an integer number (215075605185).

Almost surely, 2^{10222221221984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222221221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323629048880).

10222221221984 is an abundant number, since it is smaller than the sum of its proper divisors (10425036875776).

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

10222221221984 is a wasteful number, since it uses less digits than its factorization.

10222221221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22432 (or 22424 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 10222221221984 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, nine hundred eighty-four".