10101001829 has 2 divisors, whose sum is σ = 10101001830. Its totient is φ = 10101001828.

The previous prime is 10101001789. The next prime is 10101001831. The reversal of 10101001829 is 92810010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7407184225 + 2693817604 = 86065^2 + 51902^2 .

It is an emirp because it is prime and its reverse (92810010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101001829 - 2¹² = 10100997733 is a prime.

It is a super-2 number, since 2×10101001829² (a number of 21 digits) contains 22 as substring.

Together with 10101001831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101001849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500914 + 5050500915.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500915).

Almost surely, 2^10101001829 is an apocalyptic number.

It is an amenable number.

10101001829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001829 is an equidigital number, since it uses as much as digits as its factorization.

10101001829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 10101001829 in words is "ten billion, one hundred one million, one thousand, eight hundred twenty-nine".