201201021120 has 224 divisors, whose sum is σ = 719368574976. Its totient is φ = 47202508800.

The previous prime is 201201021101. The next prime is 201201021167. The reversal of 201201021120 is 21120102102.

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 = 201201021096 and 201201021105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20052 + ... + 634668.

Almost surely, 2^201201021120 is an apocalyptic number.

201201021120 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 201201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359684287488).

201201021120 is an abundant number, since it is smaller than the sum of its proper divisors (518167553856).

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

201201021120 is a wasteful number, since it uses less digits than its factorization.

201201021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614679 (or 614669 counting only the distinct ones).

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

Adding to 201201021120 its reverse (21120102102), we get a palindrome (222321123222).

The spelling of 201201021120 in words is "two hundred one billion, two hundred one million, twenty-one thousand, one hundred twenty".