122101000102001 has 8 divisors (see below), whose sum is σ = 124941294613344. Its totient is φ = 119260739062080.

The previous prime is 122101000101953. The next prime is 122101000102009. The reversal of 122101000102001 is 100201000101221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122101000102001 - 2¹⁰ = 122101000100977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101000102009) 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, 910760 + ... + 15653481.

It is an arithmetic number, because the mean of its divisors is an integer number (15617661826668).

Almost surely, 2^{122101000102001} is an apocalyptic number.

It is an amenable number.

122101000102001 is a deficient number, since it is larger than the sum of its proper divisors (2840294511343).

122101000102001 is a wasteful number, since it uses less digits than its factorization.

122101000102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16735711.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122101000102001 its reverse (100201000101221), we get a palindrome (222302000203222).

The spelling of 122101000102001 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred two thousand, one".