10001086200252 has 288 divisors, whose sum is σ = 31482360000000. Its totient is φ = 2611970468352.

The previous prime is 10001086200227. The next prime is 10001086200289. The reversal of 10001086200252 is 25200268010001.

It is a happy number.

10001086200252 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 10 + 8 + 620 + 0 + 25 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215058499 + ... + 215104997.

It is an arithmetic number, because the mean of its divisors is an integer number (109313750000).

Almost surely, 2^{10001086200252} is an apocalyptic number.

10001086200252 is a gapful number since it is divisible by the number (12) 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 10001086200252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741180000000).

10001086200252 is an abundant number, since it is smaller than the sum of its proper divisors (21481273799748).

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

10001086200252 is a wasteful number, since it uses less digits than its factorization.

10001086200252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48113 (or 48108 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10001086200252 in words is "ten trillion, one billion, eighty-six million, two hundred thousand, two hundred fifty-two".