10017116191300 has 180 divisors, whose sum is σ = 23892678309780. Its totient is φ = 3641021941760.

The previous prime is 10017116191231. The next prime is 10017116191319. The reversal of 10017116191300 is 319161171001.

It can be written as a sum of positive squares in 30 ways, for example, as 7287278654016 + 2729837537284 = 2699496^2 + 1652222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 242190222 + ... + 242231578.

It is an arithmetic number, because the mean of its divisors is an integer number (132737101721).

Almost surely, 2^{10017116191300} is an apocalyptic number.

10017116191300 is a gapful number since it is divisible by the number (10) 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 10017116191300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946339154890).

10017116191300 is an abundant number, since it is smaller than the sum of its proper divisors (13875562118480).

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

10017116191300 is an equidigital number, since it uses as much as digits as its factorization.

10017116191300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41468 (or 41410 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 31.

The spelling of 10017116191300 in words is "ten trillion, seventeen billion, one hundred sixteen million, one hundred ninety-one thousand, three hundred".