1010110001029 has 2 divisors, whose sum is σ = 1010110001030. Its totient is φ = 1010110001028.

The previous prime is 1010110000951. The next prime is 1010110001039. The reversal of 1010110001029 is 9201000110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 942109008129 + 68000992900 = 970623^2 + 260770^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110001029 - 2³⁵ = 975750262661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010110001039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055000514 + 505055000515.

It is an arithmetic number, because the mean of its divisors is an integer number (505055000515).

Almost surely, 2^{1010110001029} is an apocalyptic number.

It is an amenable number.

1010110001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110001029 is an equidigital number, since it uses as much as digits as its factorization.

1010110001029 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 1010110001029 in words is "one trillion, ten billion, one hundred ten million, one thousand, twenty-nine".