10211202221200 has 120 divisors (see below), whose sum is σ = 24723281481728. Its totient is φ = 4052784637440.

The previous prime is 10211202221183. The next prime is 10211202221249. The reversal of 10211202221200 is 212220211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 39839857 + ... + 40095343.

Almost surely, 2^{10211202221200} is an apocalyptic number.

10211202221200 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 10211202221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12361640740864).

10211202221200 is an abundant number, since it is smaller than the sum of its proper divisors (14512079260528).

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

10211202221200 is a wasteful number, since it uses less digits than its factorization.

10211202221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256281 (or 256270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10211202221200 its reverse (212220211201), we get a palindrome (10423422432401).

The spelling of 10211202221200 in words is "ten trillion, two hundred eleven billion, two hundred two million, two hundred twenty-one thousand, two hundred".