201134202120 has 192 divisors, whose sum is σ = 662304988800. Its totient is φ = 52930068480.

The previous prime is 201134202053. The next prime is 201134202131. The reversal of 201134202120 is 21202431102.

It is a happy number.

201134202120 is a `hidden beast` number, since 20 + 1 + 13 + 420 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201134202093 and 201134202102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30803016 + ... + 30809544.

It is an arithmetic number, because the mean of its divisors is an integer number (3449505150).

Almost surely, 2^201134202120 is an apocalyptic number.

201134202120 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 201134202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331152494400).

201134202120 is an abundant number, since it is smaller than the sum of its proper divisors (461170786680).

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

201134202120 is a wasteful number, since it uses less digits than its factorization.

201134202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201134202120 its reverse (21202431102), we get a palindrome (222336633222).

The spelling of 201134202120 in words is "two hundred one billion, one hundred thirty-four million, two hundred two thousand, one hundred twenty".