10211222000000 has 224 divisors, whose sum is σ = 29060623331760. Its totient is φ = 3500985600000.

The previous prime is 10211221999943. The next prime is 10211222000027. The reversal of 10211222000000 is 22211201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13635314 + ... + 14364686.

Almost surely, 2^{10211222000000} is an apocalyptic number.

10211222000000 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 10211222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530311665880).

10211222000000 is an abundant number, since it is smaller than the sum of its proper divisors (18849401331760).

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

10211222000000 is an frugal number, since it uses more digits than its factorization.

10211222000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729424 (or 729387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10211222000000 its reverse (22211201), we get a palindrome (10211244211201).

The spelling of 10211222000000 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million", and thus it is an aban number.