11110222101000 has 1024 divisors, whose sum is σ = 39435237504000. Its totient is φ = 2580627456000.

The previous prime is 11110222100987. The next prime is 11110222101029. The reversal of 11110222101000 is 10122201111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31473716824 + ... + 31473717176.

It is an arithmetic number, because the mean of its divisors is an integer number (38510974125).

Almost surely, 2^{11110222101000} is an apocalyptic number.

11110222101000 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 11110222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19717618752000).

11110222101000 is an abundant number, since it is smaller than the sum of its proper divisors (28325015403000).

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

11110222101000 is a wasteful number, since it uses less digits than its factorization.

11110222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110222101000 its reverse (10122201111), we get a palindrome (11120344302111).

The spelling of 11110222101000 in words is "eleven trillion, one hundred ten billion, two hundred twenty-two million, one hundred one thousand".