10222103210000 has 400 divisors, whose sum is σ = 28512485084160. Its totient is φ = 3512604480000.

The previous prime is 10222103209987. The next prime is 10222103210027. The reversal of 10222103210000 is 1230122201.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209965661 + ... + 210014339.

Almost surely, 2^{10222103210000} is an apocalyptic number.

10222103210000 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 10222103210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256242542080).

10222103210000 is an abundant number, since it is smaller than the sum of its proper divisors (18290381874160).

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

10222103210000 is a wasteful number, since it uses less digits than its factorization.

10222103210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48824 (or 48803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10222103210000 its reverse (1230122201), we get a palindrome (10223333332201).

The spelling of 10222103210000 in words is "ten trillion, two hundred twenty-two billion, one hundred three million, two hundred ten thousand".