201121210020 has 96 divisors (see below), whose sum is σ = 567516902400. Its totient is φ = 53215864704.

The previous prime is 201121210013. The next prime is 201121210027. The reversal of 201121210020 is 20012121102.

201121210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201121210013) and next prime (201121210027).

It is a super-2 number, since 2×201121210020² (a number of 23 digits) contains 22 as substring.

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 = 201121209978 and 201121210005.

It is not an unprimeable number, because it can be changed into a prime (201121210027) 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 31 ways as a sum of consecutive naturals, for example, 16999347 + ... + 17011173.

It is an arithmetic number, because the mean of its divisors is an integer number (5911634400).

Almost surely, 2^201121210020 is an apocalyptic number.

201121210020 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 201121210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283758451200).

201121210020 is an abundant number, since it is smaller than the sum of its proper divisors (366395692380).

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

201121210020 is a wasteful number, since it uses less digits than its factorization.

201121210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14017 (or 14015 counting only the distinct ones).

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

Adding to 201121210020 its reverse (20012121102), we get a palindrome (221133331122).

The spelling of 201121210020 in words is "two hundred one billion, one hundred twenty-one million, two hundred ten thousand, twenty".