201123113100 has 288 divisors, whose sum is σ = 732864760320. Its totient is φ = 41447669760.

The previous prime is 201123113077. The next prime is 201123113101. The reversal of 201123113100 is 1311321102.

It is a happy number.

It is a super-2 number, since 2×201123113100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201123113100.

It is not an unprimeable number, because it can be changed into a prime (201123113101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1088236 + ... + 1259564.

Almost surely, 2^201123113100 is an apocalyptic number.

201123113100 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 201123113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366432380160).

201123113100 is an abundant number, since it is smaller than the sum of its proper divisors (531741647220).

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

201123113100 is a wasteful number, since it uses less digits than its factorization.

201123113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171409 (or 171402 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201123113100 its reverse (1311321102), we get a palindrome (202434434202).

The spelling of 201123113100 in words is "two hundred one billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred".