10111002141 has 16 divisors (see below), whose sum is σ = 13612290048. Its totient is φ = 6675490800.

The previous prime is 10111002137. The next prime is 10111002179. The reversal of 10111002141 is 14120011101.

10111002141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111002141 - 2² = 10111002137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111002131) by changing a digit.

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, 98536 + ... + 173006.

It is an arithmetic number, because the mean of its divisors is an integer number (850768128).

Almost surely, 2^10111002141 is an apocalyptic number.

It is an amenable number.

10111002141 is a deficient number, since it is larger than the sum of its proper divisors (3501287907).

10111002141 is a wasteful number, since it uses less digits than its factorization.

10111002141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74912.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111002141 its reverse (14120011101), we get a palindrome (24231013242).

The spelling of 10111002141 in words is "ten billion, one hundred eleven million, two thousand, one hundred forty-one".