101205616240 has 40 divisors (see below), whose sum is σ = 235332781488. Its totient is φ = 40477132800.

The previous prime is 101205616229. The next prime is 101205616241. The reversal of 101205616240 is 42616502101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101205616199 and 101205616208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101205616241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592515 + ... + 743965.

Almost surely, 2^101205616240 is an apocalyptic number.

101205616240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101205616240 is an abundant number, since it is smaller than the sum of its proper divisors (134127165248).

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

101205616240 is a wasteful number, since it uses less digits than its factorization.

101205616240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159817 (or 159811 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 101205616240 in words is "one hundred one billion, two hundred five million, six hundred sixteen thousand, two hundred forty".