20001122101100 has 72 divisors (see below), whose sum is σ = 52213455624960. Its totient is φ = 6496605069120.

The previous prime is 20001122101091. The next prime is 20001122101199. The reversal of 20001122101100 is 110122110002.

It is a super-2 number, since 2×20001122101100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751908584 + ... + 751935183.

It is an arithmetic number, because the mean of its divisors is an integer number (725186883680).

Almost surely, 2^{20001122101100} is an apocalyptic number.

20001122101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001122101100 is an abundant number, since it is smaller than the sum of its proper divisors (32212333523860).

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

20001122101100 is a wasteful number, since it uses less digits than its factorization.

20001122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503843807 (or 1503843800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20001122101100 its reverse (110122110002), we get a palindrome (20111244211102).

The spelling of 20001122101100 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred one thousand, one hundred".