11012022101100 has 144 divisors (see below), whose sum is σ = 31940425681920. Its totient is φ = 2929263417600.

The previous prime is 11012022101089. The next prime is 11012022101137. The reversal of 11012022101100 is 110122021011.

11012022101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11012022101100² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092565861 + ... + 1092575939.

It is an arithmetic number, because the mean of its divisors is an integer number (221808511680).

Almost surely, 2^{11012022101100} is an apocalyptic number.

11012022101100 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 11012022101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970212840960).

11012022101100 is an abundant number, since it is smaller than the sum of its proper divisors (20928403580820).

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

11012022101100 is a wasteful number, since it uses less digits than its factorization.

11012022101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18760 (or 18753 counting only the distinct ones).

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

Adding to 11012022101100 its reverse (110122021011), we get a palindrome (11122144122111).

The spelling of 11012022101100 in words is "eleven trillion, twelve billion, twenty-two million, one hundred one thousand, one hundred".