10222100111200 has 144 divisors (see below), whose sum is σ = 25782965784576. Its totient is φ = 3954975091200.

The previous prime is 10222100111137. The next prime is 10222100111261. The reversal of 10222100111200 is 211100122201.

It is a congruent number.

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, 2100705 + ... + 4985695.

It is an arithmetic number, because the mean of its divisors is an integer number (179048373504).

Almost surely, 2^{10222100111200} is an apocalyptic number.

10222100111200 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 10222100111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891482892288).

10222100111200 is an abundant number, since it is smaller than the sum of its proper divisors (15560865673376).

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

10222100111200 is a wasteful number, since it uses less digits than its factorization.

10222100111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885157 (or 2885144 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10222100111200 its reverse (211100122201), we get a palindrome (10433200233401).

It can be divided in two parts, 102221001 and 11200, that added together give a palindrome (102232201).

The spelling of 10222100111200 in words is "ten trillion, two hundred twenty-two billion, one hundred million, one hundred eleven thousand, two hundred".