11100022101000 has 384 divisors, whose sum is σ = 43790104949760. Its totient is φ = 2483165376000.

The previous prime is 11100022100987. The next prime is 11100022101001. The reversal of 11100022101000 is 10122000111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11100022101001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1086630 + ... + 4835370.

It is an arithmetic number, because the mean of its divisors is an integer number (114036731640).

Almost surely, 2^{11100022101000} is an apocalyptic number.

11100022101000 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 11100022101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895052474880).

11100022101000 is an abundant number, since it is smaller than the sum of its proper divisors (32690082848760).

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

11100022101000 is a wasteful number, since it uses less digits than its factorization.

11100022101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748822 (or 3748805 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100022101000 its reverse (10122000111), we get a palindrome (11110144101111).

The spelling of 11100022101000 in words is "eleven trillion, one hundred billion, twenty-two million, one hundred one thousand".