10100029141 has 2 divisors, whose sum is σ = 10100029142. Its totient is φ = 10100029140.

The previous prime is 10100029127. The next prime is 10100029187. The reversal of 10100029141 is 14192000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7756501041 + 2343528100 = 88071^2 + 48410^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100029141 - 2⁵ = 10100029109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100029441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050014570 + 5050014571.

It is an arithmetic number, because the mean of its divisors is an integer number (5050014571).

Almost surely, 2^10100029141 is an apocalyptic number.

It is an amenable number.

10100029141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100029141 is an equidigital number, since it uses as much as digits as its factorization.

10100029141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10100029141 its reverse (14192000101), we get a palindrome (24292029242).

The spelling of 10100029141 in words is "ten billion, one hundred million, twenty-nine thousand, one hundred forty-one".