101110056111060 has 192 divisors, whose sum is σ = 299660144523264. Its totient is φ = 25438036377600.

The previous prime is 101110056111047. The next prime is 101110056111083. The reversal of 101110056111060 is 60111650011101.

It is a self number, because there is not a number n which added to its sum of digits gives 101110056111060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8877832 + ... + 16764128.

It is an arithmetic number, because the mean of its divisors is an integer number (1560729919392).

Almost surely, 2^{101110056111060} is an apocalyptic number.

101110056111060 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 101110056111060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149830072261632).

101110056111060 is an abundant number, since it is smaller than the sum of its proper divisors (198550088412204).

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

101110056111060 is a wasteful number, since it uses less digits than its factorization.

101110056111060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886514 (or 7886512 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 24.

The spelling of 101110056111060 in words is "one hundred one trillion, one hundred ten billion, fifty-six million, one hundred eleven thousand, sixty".