201010122111020 has 48 divisors (see below), whose sum is σ = 446991980057280. Its totient is φ = 75667616016384.

The previous prime is 201010122111017. The next prime is 201010122111047. The reversal of 201010122111020 is 20111221010102.

It is a super-3 number, since 3×201010122111020³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201010122110986 and 201010122111004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22696049 + ... + 30284168.

It is an arithmetic number, because the mean of its divisors is an integer number (9312332917860).

Almost surely, 2^{201010122111020} is an apocalyptic number.

201010122111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010122111020 is an abundant number, since it is smaller than the sum of its proper divisors (245981857946260).

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

201010122111020 is a wasteful number, since it uses less digits than its factorization.

201010122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52991402 (or 52991400 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201010122111020 its reverse (20111221010102), we get a palindrome (221121343121122).

The spelling of 201010122111020 in words is "two hundred one trillion, ten billion, one hundred twenty-two million, one hundred eleven thousand, twenty".