100110001100029 has 2 divisors, whose sum is σ = 100110001100030. Its totient is φ = 100110001100028.

The previous prime is 100110001099973. The next prime is 100110001100093. The reversal of 100110001100029 is 920001100011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84315973911129 + 15794027188900 = 9182373^2 + 3974170^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110001100029 - 2²⁷ = 100109866882301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110001099985 and 100110001100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110001103029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000550014 + 50055000550015.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000550015).

Almost surely, 2^{100110001100029} is an apocalyptic number.

It is an amenable number.

100110001100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001100029 is an equidigital number, since it uses as much as digits as its factorization.

100110001100029 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 100110001100029 in words is "one hundred trillion, one hundred ten billion, one million, one hundred thousand, twenty-nine".