101140289117868 has 384 divisors, whose sum is σ = 325611795511296. Its totient is φ = 23583303475200.

The previous prime is 101140289117789. The next prime is 101140289117941. The reversal of 101140289117868 is 868711982041101.

It is a happy number.

101140289117868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 155796046 + ... + 156443882.

It is an arithmetic number, because the mean of its divisors is an integer number (847947384144).

Almost surely, 2^{101140289117868} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101140289117868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162805897755648).

101140289117868 is an abundant number, since it is smaller than the sum of its proper divisors (224471506393428).

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

101140289117868 is a wasteful number, since it uses less digits than its factorization.

101140289117868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648233 (or 648231 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 57.

The spelling of 101140289117868 in words is "one hundred one trillion, one hundred forty billion, two hundred eighty-nine million, one hundred seventeen thousand, eight hundred sixty-eight".