100111056061060 has 288 divisors, whose sum is σ = 239159376368640. Its totient is φ = 34889204736000.

The previous prime is 100111056061013. The next prime is 100111056061109. The reversal of 100111056061060 is 60160650111001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36819070381 + ... + 36819073099.

It is an arithmetic number, because the mean of its divisors is an integer number (830414501280).

Almost surely, 2^{100111056061060} is an apocalyptic number.

100111056061060 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 100111056061060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119579688184320).

100111056061060 is an abundant number, since it is smaller than the sum of its proper divisors (139048320307580).

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

100111056061060 is a wasteful number, since it uses less digits than its factorization.

100111056061060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 100111056061060 in words is "one hundred trillion, one hundred eleven billion, fifty-six million, sixty-one thousand, sixty".