10202200000000 has 360 divisors, whose sum is σ = 26374205246400. Its totient is φ = 3937920000000.

The previous prime is 10202199999991. The next prime is 10202200000021. The reversal of 10202200000000 is 220201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5799999121 + ... + 5800000879.

It is an arithmetic number, because the mean of its divisors is an integer number (73261681240).

Almost surely, 2^{10202200000000} is an apocalyptic number.

10202200000000 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 10202200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187102623200).

10202200000000 is an abundant number, since it is smaller than the sum of its proper divisors (16172005246400).

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

10202200000000 is an frugal number, since it uses more digits than its factorization.

10202200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 10202200000000 its reverse (220201), we get a palindrome (10202200220201).

The spelling of 10202200000000 in words is "ten trillion, two hundred two billion, two hundred million", and thus it is an aban number.