101102321121073 has 2 divisors, whose sum is σ = 101102321121074. Its totient is φ = 101102321121072.

The previous prime is 101102321121049. The next prime is 101102321121103. The reversal of 101102321121073 is 370121123201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92601994278049 + 8500326843024 = 9622993^2 + 2915532^2 .

It is an emirp because it is prime and its reverse (370121123201101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101102321121073 - 2⁵ = 101102321121041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102321121673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551160560536 + 50551160560537.

It is an arithmetic number, because the mean of its divisors is an integer number (50551160560537).

Almost surely, 2^{101102321121073} is an apocalyptic number.

It is an amenable number.

101102321121073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102321121073 is an equidigital number, since it uses as much as digits as its factorization.

101102321121073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 101102321121073 its reverse (370121123201101), we get a palindrome (471223444322174).

The spelling of 101102321121073 in words is "one hundred one trillion, one hundred two billion, three hundred twenty-one million, one hundred twenty-one thousand, seventy-three".