10162121607 has 24 divisors (see below), whose sum is σ = 16017036048. Its totient is φ = 6157324800.

The previous prime is 10162121561. The next prime is 10162121609. The reversal of 10162121607 is 70612126101.

It is a happy number.

10162121607 is a `hidden beast` number, since 1 + 0 + 16 + 21 + 21 + 607 = 666.

10162121607 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10162121607 - 2¹¹ = 10162119559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162121609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482007 + ... + 502647.

It is an arithmetic number, because the mean of its divisors is an integer number (667376502).

Almost surely, 2^10162121607 is an apocalyptic number.

10162121607 is a deficient number, since it is larger than the sum of its proper divisors (5854914441).

10162121607 is a wasteful number, since it uses less digits than its factorization.

10162121607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25631 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10162121607 its reverse (70612126101), we get a palindrome (80774247708).

It can be divided in two parts, 10162 and 121607, that added together give a square (131769 = 363²).

The spelling of 10162121607 in words is "ten billion, one hundred sixty-two million, one hundred twenty-one thousand, six hundred seven".