201120121020 has 96 divisors (see below), whose sum is σ = 693090897408. Its totient is φ = 42434134272.

The previous prime is 201120120991. The next prime is 201120121021. The reversal of 201120121020 is 20121021102.

201120121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201120120987 and 201120121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120121021) 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, 18412134 + ... + 18423053.

It is an arithmetic number, because the mean of its divisors is an integer number (7219696848).

Almost surely, 2^201120121020 is an apocalyptic number.

201120121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120121020 is an abundant number, since it is smaller than the sum of its proper divisors (491970776388).

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

201120121020 is a wasteful number, since it uses less digits than its factorization.

201120121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36835219 (or 36835217 counting only the distinct ones).

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

Adding to 201120121020 its reverse (20121021102), we get a palindrome (221241142122).

The spelling of 201120121020 in words is "two hundred one billion, one hundred twenty million, one hundred twenty-one thousand, twenty".