122101121221101 has 36 divisors (see below), whose sum is σ = 199098798032316. Its totient is φ = 72000661138560.

The previous prime is 122101121221099. The next prime is 122101121221153. The reversal of 122101121221101 is 101122121101221.

It is a happy number.

122101121221101 is a `hidden beast` number, since 1 + 221 + 0 + 1 + 121 + 221 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103541817802500 + 18559303418601 = 10175550^2 + 4308051^2 .

It is not a de Polignac number, because 122101121221101 - 2¹ = 122101121221099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101121221601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1515125136 + ... + 1515205721.

Almost surely, 2^{122101121221101} is an apocalyptic number.

122101121221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101121221101 is a deficient number, since it is larger than the sum of its proper divisors (76997676811215).

122101121221101 is a wasteful number, since it uses less digits than its factorization.

122101121221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030330922 (or 3030330908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122101121221101 its reverse (101122121101221), we get a palindrome (223223242322322).

The spelling of 122101121221101 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".