10200212222000 has 80 divisors (see below), whose sum is σ = 24670349663232. Its totient is φ = 4079053209600.

The previous prime is 10200212221933. The next prime is 10200212222023. The reversal of 10200212222000 is 22221200201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7291184 + ... + 8576816.

Almost surely, 2^{10200212222000} is an apocalyptic number.

10200212222000 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 10200212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335174831616).

10200212222000 is an abundant number, since it is smaller than the sum of its proper divisors (14470137441232).

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

10200212222000 is a wasteful number, since it uses less digits than its factorization.

10200212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289623 (or 1289607 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10200212222000 its reverse (22221200201), we get a palindrome (10222433422201).

The spelling of 10200212222000 in words is "ten trillion, two hundred billion, two hundred twelve million, two hundred twenty-two thousand".