201251610000 has 2400 divisors, whose sum is σ = 957221591040. Its totient is φ = 38320128000.

The previous prime is 201251609947. The next prime is 201251610071. The reversal of 201251610000 is 16152102.

201251610000 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 51 + 610 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4680269979 + ... + 4680270021.

Almost surely, 2^201251610000 is an apocalyptic number.

201251610000 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 201251610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478610795520).

201251610000 is an abundant number, since it is smaller than the sum of its proper divisors (755969981040).

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

201251610000 is a wasteful number, since it uses less digits than its factorization.

201251610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 201251610000 its reverse (16152102), we get a palindrome (201267762102).

The spelling of 201251610000 in words is "two hundred one billion, two hundred fifty-one million, six hundred ten thousand".