101014013314140 has 192 divisors, whose sum is σ = 285256998383616. Its totient is φ = 26707937200128.

The previous prime is 101014013314063. The next prime is 101014013314153. The reversal of 101014013314140 is 41413310410101.

It is a self number, because there is not a number n which added to its sum of digits gives 101014013314140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5060051799 + ... + 5060071761.

It is an arithmetic number, because the mean of its divisors is an integer number (1485713533248).

Almost surely, 2^{101014013314140} is an apocalyptic number.

101014013314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101014013314140 is an abundant number, since it is smaller than the sum of its proper divisors (184242985069476).

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

101014013314140 is a wasteful number, since it uses less digits than its factorization.

101014013314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21708 (or 21706 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101014013314140 its reverse (41413310410101), we get a palindrome (142427323724241).

The spelling of 101014013314140 in words is "one hundred one trillion, fourteen billion, thirteen million, three hundred fourteen thousand, one hundred forty".