11100222210000 has 400 divisors, whose sum is σ = 44674915051008. Its totient is φ = 2306539200000.

The previous prime is 11100222209957. The next prime is 11100222210019. The reversal of 11100222210000 is 1222200111.

11100222210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×11100222210000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92646 + ... + 4712645.

Almost surely, 2^{11100222210000} is an apocalyptic number.

11100222210000 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 11100222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22337457525504).

11100222210000 is an abundant number, since it is smaller than the sum of its proper divisors (33574692841008).

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

11100222210000 is a wasteful number, since it uses less digits than its factorization.

11100222210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805340 (or 4805319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100222210000 its reverse (1222200111), we get a palindrome (11101444410111).

The spelling of 11100222210000 in words is "eleven trillion, one hundred billion, two hundred twenty-two million, two hundred ten thousand".