201102120210020 has 192 divisors, whose sum is σ = 435275155607040. Its totient is φ = 77998356172800.

The previous prime is 201102120209983. The next prime is 201102120210041. The reversal of 201102120210020 is 20012021201102.

201102120210020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201102120209977 and 201102120210004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196965837110 + ... + 196965838130.

It is an arithmetic number, because the mean of its divisors is an integer number (2267058102120).

Almost surely, 2^{201102120210020} is an apocalyptic number.

201102120210020 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 201102120210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217637577803520).

201102120210020 is an abundant number, since it is smaller than the sum of its proper divisors (234173035397020).

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

201102120210020 is a wasteful number, since it uses less digits than its factorization.

201102120210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201102120210020 its reverse (20012021201102), we get a palindrome (221114141411122).

The spelling of 201102120210020 in words is "two hundred one trillion, one hundred two billion, one hundred twenty million, two hundred ten thousand, twenty".