101011119888929 has 2 divisors, whose sum is σ = 101011119888930. Its totient is φ = 101011119888928.

The previous prime is 101011119888901. The next prime is 101011119888967. The reversal of 101011119888929 is 929888911110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91641888642529 + 9369231246400 = 9572977^2 + 3060920^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011119888929 - 2³⁶ = 100942400412193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011119888989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505559944464 + 50505559944465.

It is an arithmetic number, because the mean of its divisors is an integer number (50505559944465).

Almost surely, 2^{101011119888929} is an apocalyptic number.

It is an amenable number.

101011119888929 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011119888929 is an equidigital number, since it uses as much as digits as its factorization.

101011119888929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 59.

The spelling of 101011119888929 in words is "one hundred one trillion, eleven billion, one hundred nineteen million, eight hundred eighty-eight thousand, nine hundred twenty-nine".