100101000111029 has 2 divisors, whose sum is σ = 100101000111030. Its totient is φ = 100101000111028.

The previous prime is 100101000110989. The next prime is 100101000111131. The reversal of 100101000111029 is 920111000101001.

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., 75646541040004 + 24454459071025 = 8697502^2 + 4945145^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101000111029 - 2²⁸ = 100100731675573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101000110998 and 100101000111016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101000111929) 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, 50050500055514 + 50050500055515.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500055515).

Almost surely, 2^{100101000111029} is an apocalyptic number.

It is an amenable number.

100101000111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101000111029 is an equidigital number, since it uses as much as digits as its factorization.

100101000111029 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 17.

The spelling of 100101000111029 in words is "one hundred trillion, one hundred one billion, one hundred eleven thousand, twenty-nine".