10142224101 has 12 divisors (see below), whose sum is σ = 14653885740. Its totient is φ = 6759633600.

The previous prime is 10142224091. The next prime is 10142224153.

10142224101 is a `hidden beast` number, since 1 + 0 + 1 + 422 + 241 + 0 + 1 = 666.

10142224101 is nontrivially palindromic in base 10.

10142224101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2173983876 + 7968240225 = 46626^2 + 89265^2 .

It is not a de Polignac number, because 10142224101 - 2⁵ = 10142224069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142224171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118936 + ... + 185553.

It is an arithmetic number, because the mean of its divisors is an integer number (1221157145).

Almost surely, 2^10142224101 is an apocalyptic number.

It is an amenable number.

10142224101 is a deficient number, since it is larger than the sum of its proper divisors (4511661639).

10142224101 is a wasteful number, since it uses less digits than its factorization.

10142224101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308196 (or 308193 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 10142224101 in words is "ten billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred one".