22101101221100 has 216 divisors, whose sum is σ = 53001143428464. Its totient is φ = 7993339200000.

The previous prime is 22101101220983. The next prime is 22101101221123. The reversal of 22101101221100 is 112210110122.

It is a super-2 number, since 2×22101101221100² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2299079894 + ... + 2299089506.

Almost surely, 2^{22101101221100} is an apocalyptic number.

22101101221100 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 22101101221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26500571714232).

22101101221100 is an abundant number, since it is smaller than the sum of its proper divisors (30900042207364).

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

22101101221100 is a wasteful number, since it uses less digits than its factorization.

22101101221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10639 counting only the distinct ones).

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

Adding to 22101101221100 its reverse (112210110122), we get a palindrome (22213311331222).

The spelling of 22101101221100 in words is "twenty-two trillion, one hundred one billion, one hundred one million, two hundred twenty-one thousand, one hundred".