100110101029 has 2 divisors, whose sum is σ = 100110101030. Its totient is φ = 100110101028.

The previous prime is 100110101027. The next prime is 100110101111. The reversal of 100110101029 is 920101011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94234878529 + 5875222500 = 306977^2 + 76650^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110101029 - 2¹ = 100110101027 is a prime.

Together with 100110101027, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050514 + 50055050515.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050515).

Almost surely, 2^100110101029 is an apocalyptic number.

It is an amenable number.

100110101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110101029 is an equidigital number, since it uses as much as digits as its factorization.

100110101029 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 100110101029 in words is "one hundred billion, one hundred ten million, one hundred one thousand, twenty-nine".