10210221220000 has 240 divisors, whose sum is σ = 25535147787072. Its totient is φ = 4016929280000.

The previous prime is 10210221219937. The next prime is 10210221220051. The reversal of 10210221220000 is 2212201201.

It is a happy number.

It is a super-2 number, since 2×10210221220000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296042757 + ... + 296077243.

Almost surely, 2^{10210221220000} is an apocalyptic number.

10210221220000 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 10210221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767573893536).

10210221220000 is an abundant number, since it is smaller than the sum of its proper divisors (15324926567072).

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

10210221220000 is a wasteful number, since it uses less digits than its factorization.

10210221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34761 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10210221220000 its reverse (2212201201), we get a palindrome (10212433421201).

The spelling of 10210221220000 in words is "ten trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty thousand".