10222001200000 has 192 divisors, whose sum is σ = 26331288127200. Its totient is φ = 3947802880000.

The previous prime is 10222001199997. The next prime is 10222001200031. The reversal of 10222001200000 is 210022201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10222001200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11159397 + ... + 12040603.

Almost surely, 2^{10222001200000} is an apocalyptic number.

10222001200000 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 10222001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165644063600).

10222001200000 is an abundant number, since it is smaller than the sum of its proper divisors (16109286927200).

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

10222001200000 is an frugal number, since it uses more digits than its factorization.

10222001200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881275 (or 881243 counting only the distinct ones).

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

Adding to 10222001200000 its reverse (210022201), we get a palindrome (10222211222201).

The spelling of 10222001200000 in words is "ten trillion, two hundred twenty-two billion, one million, two hundred thousand".