10121220111200 has 108 divisors (see below), whose sum is σ = 27158851526940. Its totient is φ = 3680443641600.

The previous prime is 10121220111151. The next prime is 10121220111209. The reversal of 10121220111200 is 211102212101.

10121220111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121220111209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52182230 + ... + 52375829.

Almost surely, 2^{10121220111200} is an apocalyptic number.

10121220111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121220111200 is an abundant number, since it is smaller than the sum of its proper divisors (17037631415740).

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

10121220111200 is a wasteful number, since it uses less digits than its factorization.

10121220111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104558101 (or 104558077 counting only the distinct ones).

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

Adding to 10121220111200 its reverse (211102212101), we get a palindrome (10332322323301).

The spelling of 10121220111200 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand, two hundred".