122101005345 has 64 divisors (see below), whose sum is σ = 215741691648. Its totient is φ = 58475520000.

The previous prime is 122101005307. The next prime is 122101005359. The reversal of 122101005345 is 543500101221.

It is a happy number.

It is not a de Polignac number, because 122101005345 - 2¹⁰ = 122101004321 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7207485 + ... + 7224405.

It is an arithmetic number, because the mean of its divisors is an integer number (3370963932).

Almost surely, 2^122101005345 is an apocalyptic number.

122101005345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122101005345 is a deficient number, since it is larger than the sum of its proper divisors (93640686303).

122101005345 is a wasteful number, since it uses less digits than its factorization.

122101005345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 122101005345 its reverse (543500101221), we get a palindrome (665601106566).

The spelling of 122101005345 in words is "one hundred twenty-two billion, one hundred one million, five thousand, three hundred forty-five".