22011120100020 has 384 divisors, whose sum is σ = 67338044928000. Its totient is φ = 5354969804800.

The previous prime is 22011120100009. The next prime is 22011120100061. The reversal of 22011120100020 is 2000102111022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22011120099969 and 22011120100005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5168140651 + ... + 5168144909.

It is an arithmetic number, because the mean of its divisors is an integer number (175359492000).

Almost surely, 2^{22011120100020} is an apocalyptic number.

22011120100020 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 22011120100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33669022464000).

22011120100020 is an abundant number, since it is smaller than the sum of its proper divisors (45326924827980).

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

22011120100020 is a wasteful number, since it uses less digits than its factorization.

22011120100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5861 counting only the distinct ones).

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

Adding to 22011120100020 its reverse (2000102111022), we get a palindrome (24011222211042).

The spelling of 22011120100020 in words is "twenty-two trillion, eleven billion, one hundred twenty million, one hundred thousand, twenty".