100101011000929 has 2 divisors, whose sum is σ = 100101011000930. Its totient is φ = 100101011000928.

The previous prime is 100101011000891. The next prime is 100101011000981. The reversal of 100101011000929 is 929000110101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69659054440000 + 30441956560929 = 8346200^2 + 5517423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101011000929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101011007929) 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, 50050505500464 + 50050505500465.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505500465).

Almost surely, 2^{100101011000929} is an apocalyptic number.

It is an amenable number.

100101011000929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101011000929 is an equidigital number, since it uses as much as digits as its factorization.

100101011000929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 100101011000929 in words is "one hundred trillion, one hundred one billion, eleven million, nine hundred twenty-nine", and thus it is an aban number.