10222221202000 has 160 divisors (see below), whose sum is σ = 25102430439840. Its totient is φ = 4025577881600.

The previous prime is 10222221201979. The next prime is 10222221202079. The reversal of 10222221202000 is 20212222201.

It can be written as a sum of positive squares in 16 ways, for example, as 10198212319296 + 24008882704 = 3193464^2 + 154948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41350764 + ... + 41597236.

It is an arithmetic number, because the mean of its divisors is an integer number (156890190249).

Almost surely, 2^{10222221202000} is an apocalyptic number.

10222221202000 is a gapful number since it is divisible by the number (10) 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 10222221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551215219920).

10222221202000 is an abundant number, since it is smaller than the sum of its proper divisors (14880209237840).

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

10222221202000 is a wasteful number, since it uses less digits than its factorization.

10222221202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246818 (or 246802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10222221202000 its reverse (20212222201), we get a palindrome (10242433424201).

It can be divided in two parts, 1022222 and 1202000, that added together give a palindrome (2224222).

The spelling of 10222221202000 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand".