164001046101321 has 128 divisors (see below), whose sum is σ = 261787995463680. Its totient is φ = 90015296716800.

The previous prime is 164001046101311. The next prime is 164001046101367. The reversal of 164001046101321 is 123101640100461.

It is not a de Polignac number, because 164001046101321 - 2²⁷ = 164000911883593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164001046101311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8321114815 + ... + 8321134523.

It is an arithmetic number, because the mean of its divisors is an integer number (2045218714560).

Almost surely, 2^{164001046101321} is an apocalyptic number.

164001046101321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164001046101321 is a deficient number, since it is larger than the sum of its proper divisors (97786949362359).

164001046101321 is a wasteful number, since it uses less digits than its factorization.

164001046101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21127.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 164001046101321 its reverse (123101640100461), we get a palindrome (287102686201782).

The spelling of 164001046101321 in words is "one hundred sixty-four trillion, one billion, forty-six million, one hundred one thousand, three hundred twenty-one".