201101202120 has 256 divisors, whose sum is σ = 742996800000. Its totient is φ = 42403332096.

The previous prime is 201101202103. The next prime is 201101202131. The reversal of 201101202120 is 21202101102.

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 = 201101202096 and 201101202105.

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 63 ways as a sum of consecutive naturals, for example, 20623006 + ... + 20632754.

It is an arithmetic number, because the mean of its divisors is an integer number (2902331250).

Almost surely, 2^201101202120 is an apocalyptic number.

201101202120 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 201101202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400000).

201101202120 is an abundant number, since it is smaller than the sum of its proper divisors (541895597880).

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

201101202120 is a wasteful number, since it uses less digits than its factorization.

201101202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672 (or 11668 counting only the distinct ones).

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

Adding to 201101202120 its reverse (21202101102), we get a palindrome (222303303222).

The spelling of 201101202120 in words is "two hundred one billion, one hundred one million, two hundred two thousand, one hundred twenty".