101100111099966 has 256 divisors, whose sum is σ = 248761497600000. Its totient is φ = 30180334060800.

The previous prime is 101100111099943. The next prime is 101100111099971. The reversal of 101100111099966 is 669990111001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24664577385 + ... + 24664581483.

It is an arithmetic number, because the mean of its divisors is an integer number (971724600000).

Almost surely, 2^{101100111099966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100111099966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124380748800000).

101100111099966 is an abundant number, since it is smaller than the sum of its proper divisors (147661386500034).

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

101100111099966 is a wasteful number, since it uses less digits than its factorization.

101100111099966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 45.

The spelling of 101100111099966 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, ninety-nine thousand, nine hundred sixty-six".