110010101001029 has 2 divisors, whose sum is σ = 110010101001030. Its totient is φ = 110010101001028.

The previous prime is 110010101001011. The next prime is 110010101001083. The reversal of 110010101001029 is 920100101010011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95988596080129 + 14021504920900 = 9797377^2 + 3744530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110010101001029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110010101000998 and 110010101001016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110010101031029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005050500514 + 55005050500515.

It is an arithmetic number, because the mean of its divisors is an integer number (55005050500515).

Almost surely, 2^{110010101001029} is an apocalyptic number.

It is an amenable number.

110010101001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010101001029 is an equidigital number, since it uses as much as digits as its factorization.

110010101001029 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 17.

The spelling of 110010101001029 in words is "one hundred ten trillion, ten billion, one hundred one million, one thousand, twenty-nine".