10100110020029 has 2 divisors, whose sum is σ = 10100110020030. Its totient is φ = 10100110020028.

The previous prime is 10100110019981. The next prime is 10100110020037. The reversal of 10100110020029 is 92002001100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5652553800100 + 4447556219929 = 2377510^2 + 2108923^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100110020029 - 2³² = 10095815052733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100110019989 and 10100110020016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100110020629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055010014 + 5050055010015.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055010015).

Almost surely, 2^{10100110020029} is an apocalyptic number.

It is an amenable number.

10100110020029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110020029 is an equidigital number, since it uses as much as digits as its factorization.

10100110020029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10100110020029 in words is "ten trillion, one hundred billion, one hundred ten million, twenty thousand, twenty-nine".