102101323329 has 12 divisors (see below), whose sum is σ = 148294496532. Its totient is φ = 67691484000.

The previous prime is 102101323301. The next prime is 102101323351. The reversal of 102101323329 is 923323101201.

102101323329 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 1 + 323 + 329 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21771592704 + 80329730625 = 147552^2 + 283425^2 .

It is not a de Polignac number, because 102101323329 - 2¹¹ = 102101321281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101327329) 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 in 11 ways as a sum of consecutive naturals, for example, 31337022 + ... + 31340279.

It is an arithmetic number, because the mean of its divisors is an integer number (12357874711).

Almost surely, 2^102101323329 is an apocalyptic number.

It is an amenable number.

102101323329 is a deficient number, since it is larger than the sum of its proper divisors (46193173203).

102101323329 is a wasteful number, since it uses less digits than its factorization.

102101323329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62677488 (or 62677485 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 102101323329 in words is "one hundred two billion, one hundred one million, three hundred twenty-three thousand, three hundred twenty-nine".