101342020520 has 64 divisors (see below), whose sum is σ = 247732747920. Its totient is φ = 37087432704.

The previous prime is 101342020511. The next prime is 101342020579. The reversal of 101342020520 is 25020243101.

It can be written as a sum of positive squares in 8 ways, for example, as 5484964 + 101336535556 = 2342^2 + 318334^2 .

It is a super-2 number, since 2×101342020520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101342020492 and 101342020501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803579 + ... + 921098.

Almost surely, 2^101342020520 is an apocalyptic number.

101342020520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101342020520 is an abundant number, since it is smaller than the sum of its proper divisors (146390727400).

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

101342020520 is a wasteful number, since it uses less digits than its factorization.

101342020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724814 (or 1724810 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 101342020520 its reverse (25020243101), we get a palindrome (126362263621).

The spelling of 101342020520 in words is "one hundred one billion, three hundred forty-two million, twenty thousand, five hundred twenty".