10111222221100 has 432 divisors, whose sum is σ = 30282884958816. Its totient is φ = 2880299520000.

The previous prime is 10111222221083. The next prime is 10111222221137. The reversal of 10111222221100 is 112222211101.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70699264 + ... + 70842136.

It is an arithmetic number, because the mean of its divisors is an integer number (70099270738).

Almost surely, 2^{10111222221100} is an apocalyptic number.

10111222221100 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 10111222221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15141442479408).

10111222221100 is an abundant number, since it is smaller than the sum of its proper divisors (20171662737716).

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

10111222221100 is a wasteful number, since it uses less digits than its factorization.

10111222221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143026 (or 143012 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10111222221100 its reverse (112222211101), we get a palindrome (10223444432201).

Subtracting from 10111222221100 its reverse (112222211101), we obtain a palindrome (9999000009999).

The spelling of 10111222221100 in words is "ten trillion, one hundred eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".