10212201120000 has 720 divisors, whose sum is σ = 37750994664768. Its totient is φ = 2428907520000.

The previous prime is 10212201119969. The next prime is 10212201120083. The reversal of 10212201120000 is 2110221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 279821754 + ... + 279858246.

Almost surely, 2^{10212201120000} is an apocalyptic number.

10212201120000 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 10212201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875497332384).

10212201120000 is an abundant number, since it is smaller than the sum of its proper divisors (27538793544768).

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

10212201120000 is an equidigital number, since it uses as much as digits as its factorization.

10212201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36596 (or 36567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212201120000 its reverse (2110221201), we get a palindrome (10214311341201).

The spelling of 10212201120000 in words is "ten trillion, two hundred twelve billion, two hundred one million, one hundred twenty thousand".