201134201004 has 180 divisors, whose sum is σ = 580997983104. Its totient is φ = 60628392000.

The previous prime is 201134200997. The next prime is 201134201011. The reversal of 201134201004 is 400102431102.

It is an interprime number because it is at equal distance from previous prime (201134200997) and next prime (201134201011).

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

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 59 ways as a sum of consecutive naturals, for example, 7474534 + ... + 7501394.

Almost surely, 2^201134201004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201134201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290498991552).

201134201004 is an abundant number, since it is smaller than the sum of its proper divisors (379863782100).

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

201134201004 is a wasteful number, since it uses less digits than its factorization.

201134201004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27090 (or 27068 counting only the distinct ones).

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

Adding to 201134201004 its reverse (400102431102), we get a palindrome (601236632106).

The spelling of 201134201004 in words is "two hundred one billion, one hundred thirty-four million, two hundred one thousand, four".