101311411124 has 144 divisors (see below), whose sum is σ = 235285585920. Its totient is φ = 37074992640.

The previous prime is 101311411121. The next prime is 101311411129. The reversal of 101311411124 is 421114113101.

It is a junction number, because it is equal to n+sod(n) for n = 101311411096 and 101311411105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311411121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63998837 + ... + 64000419.

It is an arithmetic number, because the mean of its divisors is an integer number (1633927680).

Almost surely, 2^101311411124 is an apocalyptic number.

101311411124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311411124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117642792960).

101311411124 is an abundant number, since it is smaller than the sum of its proper divisors (133974174796).

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

101311411124 is a wasteful number, since it uses less digits than its factorization.

101311411124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101311411124 its reverse (421114113101), we get a palindrome (522425524225).

The spelling of 101311411124 in words is "one hundred one billion, three hundred eleven million, four hundred eleven thousand, one hundred twenty-four".