201511210000 has 125 divisors (see below), whose sum is σ = 495270893051. Its totient is φ = 79401432000.

The previous prime is 201511209989. The next prime is 201511210009. The reversal of 201511210000 is 12115102.

The square root of 201511210000 is 448900.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 15798478864 + 185712731136 = 125692^2 + 430944^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201511210009) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 3007629967 + ... + 3007630033.

Almost surely, 2^201511210000 is an apocalyptic number.

201511210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201511210000 is the 448900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201511210000

201511210000 is an abundant number, since it is smaller than the sum of its proper divisors (293759683051).

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

201511210000 is an frugal number, since it uses more digits than its factorization.

201511210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 201511210000 its reverse (12115102), we get a palindrome (201523325102).

The spelling of 201511210000 in words is "two hundred one billion, five hundred eleven million, two hundred ten thousand".