20110021122100 has 144 divisors (see below), whose sum is σ = 53752886150656. Its totient is φ = 6359316480000.

The previous prime is 20110021122013. The next prime is 20110021122109. The reversal of 20110021122100 is 122112001102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110021122109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10304500 + ... + 12099700.

Almost surely, 2^{20110021122100} is an apocalyptic number.

20110021122100 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 20110021122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876443075328).

20110021122100 is an abundant number, since it is smaller than the sum of its proper divisors (33642865028556).

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

20110021122100 is a wasteful number, since it uses less digits than its factorization.

20110021122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796466 (or 1796459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20110021122100 its reverse (122112001102), we get a palindrome (20232133123202).

The spelling of 20110021122100 in words is "twenty trillion, one hundred ten billion, twenty-one million, one hundred twenty-two thousand, one hundred".