122101011000101 has 8 divisors (see below), whose sum is σ = 142391849563200. Its totient is φ = 104658009428364.

The previous prime is 122101011000047. The next prime is 122101011000161. The reversal of 122101011000101 is 101000110101221.

It is a de Polignac number, because none of the positive numbers 2^k-122101011000101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101011000161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177989811611 + ... + 177989812296.

It is an arithmetic number, because the mean of its divisors is an integer number (17798981195400).

Almost surely, 2^{122101011000101} is an apocalyptic number.

It is an amenable number.

122101011000101 is a deficient number, since it is larger than the sum of its proper divisors (20290838563099).

122101011000101 is an frugal number, since it uses more digits than its factorization.

122101011000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355979623928 (or 355979623914 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 122101011000101 its reverse (101000110101221), we get a palindrome (223101121101322).

The spelling of 122101011000101 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, one hundred one", and thus it is an aban number.