10111222100200 has 192 divisors, whose sum is σ = 26810139510000. Its totient is φ = 3513244631040.

The previous prime is 10111222100153. The next prime is 10111222100219. The reversal of 10111222100200 is 200122211101.

It can be written as a sum of positive squares in 24 ways, for example, as 328051726564 + 9783170373636 = 572758^2 + 3127806^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 413213566 + ... + 413238034.

Almost surely, 2^{10111222100200} is an apocalyptic number.

10111222100200 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 10111222100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405069755000).

10111222100200 is an abundant number, since it is smaller than the sum of its proper divisors (16698917409800).

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

10111222100200 is a wasteful number, since it uses less digits than its factorization.

10111222100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33864 (or 33855 counting only the distinct ones).

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

Adding to 10111222100200 its reverse (200122211101), we get a palindrome (10311344311301).

The spelling of 10111222100200 in words is "ten trillion, one hundred eleven billion, two hundred twenty-two million, one hundred thousand, two hundred".