101310411120 has 80 divisors (see below), whose sum is σ = 314102372352. Its totient is φ = 27012660480.

The previous prime is 101310411113. The next prime is 101310411131. The reversal of 101310411120 is 21114013101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101310411120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260449 + ... + 2304831.

Almost surely, 2^101310411120 is an apocalyptic number.

101310411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101310411120 is an abundant number, since it is smaller than the sum of its proper divisors (212791961232).

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

101310411120 is a wasteful number, since it uses less digits than its factorization.

101310411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53910 (or 53904 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101310411120 its reverse (21114013101), we get a palindrome (122424424221).

The spelling of 101310411120 in words is "one hundred one billion, three hundred ten million, four hundred eleven thousand, one hundred twenty".