101561314540 has 96 divisors (see below), whose sum is σ = 249231790080. Its totient is φ = 34046078976.

The previous prime is 101561314529. The next prime is 101561314559. The reversal of 101561314540 is 45413165101.

It is a super-2 number, since 2×101561314540² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094604 + ... + 1183756.

It is an arithmetic number, because the mean of its divisors is an integer number (2596164480).

Almost surely, 2^101561314540 is an apocalyptic number.

101561314540 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 101561314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124615895040).

101561314540 is an abundant number, since it is smaller than the sum of its proper divisors (147670475540).

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

101561314540 is a wasteful number, since it uses less digits than its factorization.

101561314540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89351 (or 89349 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 101561314540 its reverse (45413165101), we get a palindrome (146974479641).

The spelling of 101561314540 in words is "one hundred one billion, five hundred sixty-one million, three hundred fourteen thousand, five hundred forty".