101130411040 has 96 divisors (see below), whose sum is σ = 242647816320. Its totient is φ = 39821912064.

The previous prime is 101130411007. The next prime is 101130411043. The reversal of 101130411040 is 40114031101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101130411043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26830276 + ... + 26834044.

It is an arithmetic number, because the mean of its divisors is an integer number (2527581420).

Almost surely, 2^101130411040 is an apocalyptic number.

101130411040 is a gapful number since it is divisible by the number (10) 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 101130411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121323908160).

101130411040 is an abundant number, since it is smaller than the sum of its proper divisors (141517405280).

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

101130411040 is a wasteful number, since it uses less digits than its factorization.

101130411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101130411040 its reverse (40114031101), we get a palindrome (141244442141).

The spelling of 101130411040 in words is "one hundred one billion, one hundred thirty million, four hundred eleven thousand, forty".