101100120110989 has 2 divisors, whose sum is σ = 101100120110990. Its totient is φ = 101100120110988.

The previous prime is 101100120110953. The next prime is 101100120111017. The reversal of 101100120110989 is 989011021001101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53049852962089 + 48050267148900 = 7283533^2 + 6931830^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100120110989 - 2¹³ = 101100120102797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100120111989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550060055494 + 50550060055495.

It is an arithmetic number, because the mean of its divisors is an integer number (50550060055495).

Almost surely, 2^{101100120110989} is an apocalyptic number.

It is an amenable number.

101100120110989 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100120110989 is an equidigital number, since it uses as much as digits as its factorization.

101100120110989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 34.

The spelling of 101100120110989 in words is "one hundred one trillion, one hundred billion, one hundred twenty million, one hundred ten thousand, nine hundred eighty-nine".