2021122120100 has 216 divisors, whose sum is σ = 4562221743912. Its totient is φ = 777074688000.

The previous prime is 2021122120097. The next prime is 2021122120103. The reversal of 2021122120100 is 10212211202.

It is an interprime number because it is at equal distance from previous prime (2021122120097) and next prime (2021122120103).

It can be written as a sum of positive squares in 12 ways, for example, as 16337764 + 2021105782336 = 4042^2 + 1421656^2 .

It is not an unprimeable number, because it can be changed into a prime (2021122120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3502811012 + ... + 3502811588.

Almost surely, 2^{2021122120100} is an apocalyptic number.

2021122120100 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 2021122120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281110871956).

2021122120100 is an abundant number, since it is smaller than the sum of its proper divisors (2541099623812).

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

2021122120100 is a wasteful number, since it uses less digits than its factorization.

2021122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2021122120100 its reverse (10212211202), we get a palindrome (2031334331302).

The spelling of 2021122120100 in words is "two trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".