10101221211200 has 336 divisors, whose sum is σ = 29676639859200. Its totient is φ = 3310734336000.

The previous prime is 10101221211121. The next prime is 10101221211239. The reversal of 10101221211200 is 211212210101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32650841 + ... + 32958759.

Almost surely, 2^{10101221211200} is an apocalyptic number.

10101221211200 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 10101221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838319929600).

10101221211200 is an abundant number, since it is smaller than the sum of its proper divisors (19575418648000).

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

10101221211200 is a wasteful number, since it uses less digits than its factorization.

10101221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308078 (or 308063 counting only the distinct ones).

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

Adding to 10101221211200 its reverse (211212210101), we get a palindrome (10312433421301).

The spelling of 10101221211200 in words is "ten trillion, one hundred one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".