10211221011200 has 216 divisors, whose sum is σ = 29023200937920. Its totient is φ = 3517740748800.

The previous prime is 10211221011161. The next prime is 10211221011221. The reversal of 10211221011200 is 211012211201.

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, 2479394 + ... + 5154593.

Almost surely, 2^{10211221011200} is an apocalyptic number.

10211221011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211221011200 is an abundant number, since it is smaller than the sum of its proper divisors (18811979926720).

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

10211221011200 is a wasteful number, since it uses less digits than its factorization.

10211221011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634043 (or 7634024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211221011200 its reverse (211012211201), we get a palindrome (10422233222401).

The spelling of 10211221011200 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, eleven thousand, two hundred".