35102135110112 has 144 divisors (see below), whose sum is σ = 82460661595200. Its totient is φ = 14657287680000.

The previous prime is 35102135110109. The next prime is 35102135110121. The reversal of 35102135110112 is 21101153120153.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47916764 + ... + 48643812.

It is an arithmetic number, because the mean of its divisors is an integer number (572643483300).

Almost surely, 2^{35102135110112} is an apocalyptic number.

35102135110112 is a gapful number since it is divisible by the number (32) 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 35102135110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41230330797600).

35102135110112 is an abundant number, since it is smaller than the sum of its proper divisors (47358526485088).

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

35102135110112 is a wasteful number, since it uses less digits than its factorization.

35102135110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727865 (or 727850 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 35102135110112 its reverse (21101153120153), we get a palindrome (56203288230265).

The spelling of 35102135110112 in words is "thirty-five trillion, one hundred two billion, one hundred thirty-five million, one hundred ten thousand, one hundred twelve".