10100100110029 has 2 divisors, whose sum is σ = 10100100110030. Its totient is φ = 10100100110028.

The previous prime is 10100100110027. The next prime is 10100100110041. The reversal of 10100100110029 is 92001100100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8814949124004 + 1285150986025 = 2968998^2 + 1133645^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100110029 - 2¹ = 10100100110027 is a prime.

Together with 10100100110027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10100100109994 and 10100100110021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050055014 + 5050050055015.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050055015).

Almost surely, 2^{10100100110029} is an apocalyptic number.

It is an amenable number.

10100100110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100110029 is an equidigital number, since it uses as much as digits as its factorization.

10100100110029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 10100100110029 in words is "ten trillion, one hundred billion, one hundred million, one hundred ten thousand, twenty-nine".