10200222210000 has 400 divisors, whose sum is σ = 34041209875904. Its totient is φ = 2629380096000.

The previous prime is 10200222209963. The next prime is 10200222210019. The reversal of 10200222210000 is 1222200201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125089242 + ... + 125170758.

Almost surely, 2^{10200222210000} is an apocalyptic number.

10200222210000 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 10200222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17020604937952).

10200222210000 is an abundant number, since it is smaller than the sum of its proper divisors (23840987665904).

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

10200222210000 is an equidigital number, since it uses as much as digits as its factorization.

10200222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81688 (or 81667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10200222210000 its reverse (1222200201), we get a palindrome (10201444410201).

The spelling of 10200222210000 in words is "ten trillion, two hundred billion, two hundred twenty-two million, two hundred ten thousand".