1011001100029 has 2 divisors, whose sum is σ = 1011001100030. Its totient is φ = 1011001100028.

The previous prime is 1011001100003. The next prime is 1011001100059. The reversal of 1011001100029 is 9200011001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 966137623929 + 44863476100 = 982923^2 + 211810^2 .

It is an emirp because it is prime and its reverse (9200011001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011001100029 - 2²⁷ = 1010866882301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011001099985 and 1011001100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011001100059) 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, 505500550014 + 505500550015.

It is an arithmetic number, because the mean of its divisors is an integer number (505500550015).

Almost surely, 2^{1011001100029} is an apocalyptic number.

It is an amenable number.

1011001100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001100029 is an equidigital number, since it uses as much as digits as its factorization.

1011001100029 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 1011001100029 in words is "one trillion, eleven billion, one million, one hundred thousand, twenty-nine".