10121110211200 has 96 divisors (see below), whose sum is σ = 25007203409760. Its totient is φ = 4047650933760.

The previous prime is 10121110211161. The next prime is 10121110211231. The reversal of 10121110211200 is 211201112101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16163149 + ... + 16777651.

It is an arithmetic number, because the mean of its divisors is an integer number (260491702185).

Almost surely, 2^{10121110211200} is an apocalyptic number.

10121110211200 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 10121110211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503601704880).

10121110211200 is an abundant number, since it is smaller than the sum of its proper divisors (14886093198560).

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

10121110211200 is an equidigital number, since it uses as much as digits as its factorization.

10121110211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619674 (or 619657 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121110211200 its reverse (211201112101), we get a palindrome (10332311323301).

Subtracting from 10121110211200 its reverse (211201112101), we obtain a palindrome (9909909099099).

The spelling of 10121110211200 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, two hundred eleven thousand, two hundred".