122101121100001 has 16 divisors (see below), whose sum is σ = 122611383659520. Its totient is φ = 121591798822480.

The previous prime is 122101121099957. The next prime is 122101121100017. The reversal of 122101121100001 is 100001121101221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122101121100001 - 2¹¹ = 122101121097953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101121103001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4520408586 + ... + 4520435596.

It is an arithmetic number, because the mean of its divisors is an integer number (7663211478720).

Almost surely, 2^{122101121100001} is an apocalyptic number.

It is an amenable number.

122101121100001 is a deficient number, since it is larger than the sum of its proper divisors (510262559519).

122101121100001 is a wasteful number, since it uses less digits than its factorization.

122101121100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43724.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122101121100001 its reverse (100001121101221), we get a palindrome (222102242201222).

The spelling of 122101121100001 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-one million, one hundred thousand, one".