10222202122002 has 96 divisors (see below), whose sum is σ = 24267785068800. Its totient is φ = 3090872100096.

The previous prime is 10222202121959. The next prime is 10222202122087. The reversal of 10222202122002 is 20022120222201.

10222202122002 is a `hidden beast` number, since 10 + 22 + 220 + 212 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888999 + ... + 4900277.

It is an arithmetic number, because the mean of its divisors is an integer number (252789427800).

Almost surely, 2^{10222202122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222202122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133892534400).

10222202122002 is an abundant number, since it is smaller than the sum of its proper divisors (14045582946798).

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

10222202122002 is a wasteful number, since it uses less digits than its factorization.

10222202122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011552 (or 3011549 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222202122002 its reverse (20022120222201), we get a palindrome (30244322344203).

The spelling of 10222202122002 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, one hundred twenty-two thousand, two".