101260540540 has 48 divisors (see below), whose sum is σ = 213334494912. Its totient is φ = 40373415936.

The previous prime is 101260540487. The next prime is 101260540541. The reversal of 101260540540 is 45045062101.

101260540540 is a modest number, since divided by 540540 gives 101260 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101260540499 and 101260540508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101260540541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23399857 + ... + 23404183.

It is an arithmetic number, because the mean of its divisors is an integer number (4444468644).

Almost surely, 2^101260540540 is an apocalyptic number.

101260540540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101260540540 is an abundant number, since it is smaller than the sum of its proper divisors (112073954372).

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

101260540540 is a wasteful number, since it uses less digits than its factorization.

101260540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 101260540540 in words is "one hundred one billion, two hundred sixty million, five hundred forty thousand, five hundred forty".