101111100099966 has 192 divisors, whose sum is σ = 248348814900480. Its totient is φ = 30469575470400.

The previous prime is 101111100099941. The next prime is 101111100100079. The reversal of 101111100099966 is 669990001111101.

It is a congruent number.

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, 1300743321 + ... + 1300821051.

It is an arithmetic number, because the mean of its divisors is an integer number (1293483410940).

Almost surely, 2^{101111100099966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111100099966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124174407450240).

101111100099966 is an abundant number, since it is smaller than the sum of its proper divisors (147237714800514).

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

101111100099966 is a wasteful number, since it uses less digits than its factorization.

101111100099966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78868 (or 78851 counting only the distinct ones).

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

The spelling of 101111100099966 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, ninety-nine thousand, nine hundred sixty-six".