22101110201100 has 144 divisors (see below), whose sum is σ = 73083458359296. Its totient is φ = 5051512704000.

The previous prime is 22101110201083. The next prime is 22101110201141. The reversal of 22101110201100 is 110201110122.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68784820 + ... + 69105380.

It is an arithmetic number, because the mean of its divisors is an integer number (507524016384).

Almost surely, 2^{22101110201100} is an apocalyptic number.

22101110201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101110201100 is an abundant number, since it is smaller than the sum of its proper divisors (50982348158196).

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

22101110201100 is a wasteful number, since it uses less digits than its factorization.

22101110201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353416 (or 353409 counting only the distinct ones).

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

Adding to 22101110201100 its reverse (110201110122), we get a palindrome (22211311311222).

The spelling of 22101110201100 in words is "twenty-two trillion, one hundred one billion, one hundred ten million, two hundred one thousand, one hundred".