201123122130 has 384 divisors, whose sum is σ = 656719405056. Its totient is φ = 41658624000.

The previous prime is 201123122107. The next prime is 201123122203. The reversal of 201123122130 is 31221321102.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32694555 + ... + 32700705.

It is an arithmetic number, because the mean of its divisors is an integer number (1710206784).

Almost surely, 2^201123122130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201123122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328359702528).

201123122130 is an abundant number, since it is smaller than the sum of its proper divisors (455596282926).

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

201123122130 is a wasteful number, since it uses less digits than its factorization.

201123122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201123122130 its reverse (31221321102), we get a palindrome (232344443232).

The spelling of 201123122130 in words is "two hundred one billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred thirty".