10202221111200 has 288 divisors, whose sum is σ = 35503044909696. Its totient is φ = 2535696629760.

The previous prime is 10202221111189. The next prime is 10202221111223. The reversal of 10202221111200 is 211112220201.

10202221111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202221111200.

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, 2988544 + ... + 5416256.

It is an arithmetic number, because the mean of its divisors is an integer number (123274461492).

Almost surely, 2^{10202221111200} is an apocalyptic number.

10202221111200 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 10202221111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751522454848).

10202221111200 is an abundant number, since it is smaller than the sum of its proper divisors (25300823798496).

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

10202221111200 is a wasteful number, since it uses less digits than its factorization.

10202221111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427856 (or 2427843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202221111200 its reverse (211112220201), we get a palindrome (10413333331401).

The spelling of 10202221111200 in words is "ten trillion, two hundred two billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".