110021052061206 has 288 divisors, whose sum is σ = 283624242056064. Its totient is φ = 30553848000000.

The previous prime is 110021052061183. The next prime is 110021052061211. The reversal of 110021052061206 is 602160250120011.

110021052061206 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 10 + 520 + 6 + 120 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 110021052061206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2628854181 + ... + 2628896031.

It is an arithmetic number, because the mean of its divisors is an integer number (984806396028).

Almost surely, 2^{110021052061206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021052061206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141812121028032).

110021052061206 is an abundant number, since it is smaller than the sum of its proper divisors (173603189994858).

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

110021052061206 is a wasteful number, since it uses less digits than its factorization.

110021052061206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42460 (or 42444 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 110021052061206 in words is "one hundred ten trillion, twenty-one billion, fifty-two million, sixty-one thousand, two hundred six".