22101122101100 has 144 divisors (see below), whose sum is σ = 55360807889856. Its totient is φ = 7501507200000.

The previous prime is 22101122101057. The next prime is 22101122101151. The reversal of 22101122101100 is 110122110122.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 699984914 + ... + 700016486.

Almost surely, 2^{22101122101100} is an apocalyptic number.

22101122101100 is a gapful number since it is divisible by the number (20) 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 22101122101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27680403944928).

22101122101100 is an abundant number, since it is smaller than the sum of its proper divisors (33259685788756).

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

22101122101100 is a wasteful number, since it uses less digits than its factorization.

22101122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41596 (or 41589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22101122101100 its reverse (110122110122), we get a palindrome (22211244211222).

It can be divided in two parts, 221011 and 22101100, that multiplied together give a square (4884586212100 = 2210110²).

The spelling of 22101122101100 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred".