101415120021 has 24 divisors (see below), whose sum is σ = 146991873600. Its totient is φ = 67378162176.

The previous prime is 101415120013. The next prime is 101415120047. The reversal of 101415120021 is 120021514101.

101415120021 is a `hidden beast` number, since 10 + 141 + 512 + 0 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 101415120021 - 2³ = 101415120013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101415119976 and 101415120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101415120071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3094306 + ... + 3126908.

It is an arithmetic number, because the mean of its divisors is an integer number (6124661400).

Almost surely, 2^101415120021 is an apocalyptic number.

It is an amenable number.

101415120021 is a deficient number, since it is larger than the sum of its proper divisors (45576753579).

101415120021 is a wasteful number, since it uses less digits than its factorization.

101415120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33785 (or 33782 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101415120021 its reverse (120021514101), we get a palindrome (221436634122).

The spelling of 101415120021 in words is "one hundred one billion, four hundred fifteen million, one hundred twenty thousand, twenty-one".