11022101201100 has 144 divisors (see below), whose sum is σ = 34884558245376. Its totient is φ = 2664743520000.

The previous prime is 11022101201071. The next prime is 11022101201101. The reversal of 11022101201100 is 110210122011.

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

It is not an unprimeable number, because it can be changed into a prime (11022101201101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3339351 + ... + 5761550.

It is an arithmetic number, because the mean of its divisors is an integer number (242253876704).

Almost surely, 2^{11022101201100} is an apocalyptic number.

11022101201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022101201100 is an abundant number, since it is smaller than the sum of its proper divisors (23862457044276).

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

11022101201100 is a wasteful number, since it uses less digits than its factorization.

11022101201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101296 (or 9101289 counting only the distinct ones).

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

Adding to 11022101201100 its reverse (110210122011), we get a palindrome (11132311323111).

The spelling of 11022101201100 in words is "eleven trillion, twenty-two billion, one hundred one million, two hundred one thousand, one hundred".