121102122001201 has 24 divisors (see below), whose sum is σ = 133218656086824. Its totient is φ = 110004845280000.

The previous prime is 121102122001109. The next prime is 121102122001271. The reversal of 121102122001201 is 102100221201121.

It can be written as a sum of positive squares in 4 ways, for example, as 1429461751201 + 119672660250000 = 1195601^2 + 10939500^2 .

It is a de Polignac number, because none of the positive numbers 2^k-121102122001201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121102122001271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846816381 + ... + 3846847861.

It is an arithmetic number, because the mean of its divisors is an integer number (5550777336951).

Almost surely, 2^{121102122001201} is an apocalyptic number.

121102122001201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121102122001201 is a deficient number, since it is larger than the sum of its proper divisors (12116534085623).

121102122001201 is a wasteful number, since it uses less digits than its factorization.

121102122001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55905 (or 55894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121102122001201 its reverse (102100221201121), we get a palindrome (223202343202322).

The spelling of 121102122001201 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred twenty-two million, one thousand, two hundred one".