122101110001 has 32 divisors (see below), whose sum is σ = 136991232000. Its totient is φ = 108118644480.

The previous prime is 122101109989. The next prime is 122101110041. The reversal of 122101110001 is 100011101221.

It is a cyclic number.

It is not a de Polignac number, because 122101110001 - 2⁵ = 122101109969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122101110001.

It is not an unprimeable number, because it can be changed into a prime (122101110041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5931675 + ... + 5952223.

It is an arithmetic number, because the mean of its divisors is an integer number (4280976000).

Almost surely, 2^122101110001 is an apocalyptic number.

It is an amenable number.

122101110001 is a deficient number, since it is larger than the sum of its proper divisors (14890121999).

122101110001 is a wasteful number, since it uses less digits than its factorization.

122101110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20809.

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

Adding to 122101110001 its reverse (100011101221), we get a palindrome (222112211222).

It can be divided in two parts, 12210 and 1110001, that added together give a palindrome (1122211).

The spelling of 122101110001 in words is "one hundred twenty-two billion, one hundred one million, one hundred ten thousand, one".