1010100110029 has 2 divisors, whose sum is σ = 1010100110030. Its totient is φ = 1010100110028.

The previous prime is 1010100109987. The next prime is 1010100110039. The reversal of 1010100110029 is 9200110010101.

1010100110029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 534002870025 + 476097240004 = 730755^2 + 689998^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100110029 - 2²³ = 1010091721421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010100109994 and 1010100110021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100110039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050055014 + 505050055015.

It is an arithmetic number, because the mean of its divisors is an integer number (505050055015).

Almost surely, 2^{1010100110029} is an apocalyptic number.

It is an amenable number.

1010100110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100110029 is an equidigital number, since it uses as much as digits as its factorization.

1010100110029 is an evil number, because the sum of its binary digits is even.

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

The spelling of 1010100110029 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, twenty-nine".