122101101001 has 4 divisors (see below), whose sum is σ = 133201201104. Its totient is φ = 111001000900.

The previous prime is 122101100977. The next prime is 122101101043. The reversal of 122101101001 is 100101101221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100101101221 = 11 ⋅9100100111.

It is a cyclic number.

It is not a de Polignac number, because 122101101001 - 2⁹ = 122101100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101101061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5550050035 + ... + 5550050056.

It is an arithmetic number, because the mean of its divisors is an integer number (33300300276).

Almost surely, 2^122101101001 is an apocalyptic number.

122101101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101101001 is a deficient number, since it is larger than the sum of its proper divisors (11100100103).

122101101001 is a wasteful number, since it uses less digits than its factorization.

122101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100100102.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122101101001 its reverse (100101101221), we get a palindrome (222202202222).

The spelling of 122101101001 in words is "one hundred twenty-two billion, one hundred one million, one hundred one thousand, one".