1012170563100 has 216 divisors, whose sum is σ = 3363955161840. Its totient is φ = 253839191040.

The previous prime is 1012170563099. The next prime is 1012170563141. The reversal of 1012170563100 is 13650712101.

1012170563100 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 7 + 0 + 5 + 631 + 0 + 0 = 666.

It is a super-2 number, since 2×1012170563100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2126674 + ... + 2558726.

It is an arithmetic number, because the mean of its divisors is an integer number (15573866490).

Almost surely, 2^{1012170563100} is an apocalyptic number.

1012170563100 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 1012170563100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681977580920).

1012170563100 is an abundant number, since it is smaller than the sum of its proper divisors (2351784598740).

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

1012170563100 is a wasteful number, since it uses less digits than its factorization.

1012170563100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432229 (or 432219 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1012170563100 in words is "one trillion, twelve billion, one hundred seventy million, five hundred sixty-three thousand, one hundred".