20110021212100 has 18 divisors (see below), whose sum is σ = 43638746030474. Its totient is φ = 8044008484800.

The previous prime is 20110021212091. The next prime is 20110021212103. The reversal of 20110021212100 is 121212001102.

It can be written as a sum of positive squares in 3 ways, for example, as 55405627456 + 20054615584644 = 235384^2 + 4478238^2 .

It is a super-2 number, since 2×20110021212100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20110021212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100550105961 + ... + 100550106160.

Almost surely, 2^{20110021212100} is an apocalyptic number.

20110021212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110021212100 is an abundant number, since it is smaller than the sum of its proper divisors (23528724818374).

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

20110021212100 is a wasteful number, since it uses less digits than its factorization.

20110021212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201100212135 (or 201100212128 counting only the distinct ones).

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

Adding to 20110021212100 its reverse (121212001102), we get a palindrome (20231233213202).

The spelling of 20110021212100 in words is "twenty trillion, one hundred ten billion, twenty-one million, two hundred twelve thousand, one hundred".