10222201000000 has 294 divisors, whose sum is σ = 27870453058322. Its totient is φ = 3717120000000.

The previous prime is 10222200999971. The next prime is 10222201000001. The reversal of 10222201000000 is 10222201.

It can be written as a sum of positive squares in 7 ways, for example, as 9175131786304 + 1047069213696 = 3029048^2 + 1023264^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10222201000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 120957760 + ... + 121042240.

Almost surely, 2^{10222201000000} is an apocalyptic number.

10222201000000 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 10222201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935226529161).

10222201000000 is an abundant number, since it is smaller than the sum of its proper divisors (17648252058322).

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

10222201000000 is an frugal number, since it uses more digits than its factorization.

10222201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84545 (or 84499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10222201000000 its reverse (10222201), we get a palindrome (10222211222201).

10222201000000 divided by its reverse (10222201) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 1022 and 2201000000, that added together give a palindrome (2201001022).

The spelling of 10222201000000 in words is "ten trillion, two hundred twenty-two billion, two hundred one million", and thus it is an aban number.