20001222101100 has 144 divisors (see below), whose sum is σ = 59437953151136. Its totient is φ = 5189184000000.

The previous prime is 20001222101089. The next prime is 20001222101101. The reversal of 20001222101100 is 110122210002.

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 (20001222101101) 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, 216414900 + ... + 216507300.

Almost surely, 2^{20001222101100} is an apocalyptic number.

20001222101100 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 20001222101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29718976575568).

20001222101100 is an abundant number, since it is smaller than the sum of its proper divisors (39436731050036).

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

20001222101100 is a wasteful number, since it uses less digits than its factorization.

20001222101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111956 (or 111949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20001222101100 its reverse (110122210002), we get a palindrome (20111344311102).

The spelling of 20001222101100 in words is "twenty trillion, one billion, two hundred twenty-two million, one hundred one thousand, one hundred".