12002121122101 has 8 divisors (see below), whose sum is σ = 13093340978304. Its totient is φ = 10910920921920.

The previous prime is 12002121122027. The next prime is 12002121122119. The reversal of 12002121122101 is 10122112120021.

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 12002121122101 - 2¹⁵ = 12002121089333 is a prime.

It is a super-3 number, since 3×12002121122101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002121122141) 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, 3622516 + ... + 6093181.

It is an arithmetic number, because the mean of its divisors is an integer number (1636667622288).

Almost surely, 2^{12002121122101} is an apocalyptic number.

12002121122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002121122101 is a deficient number, since it is larger than the sum of its proper divisors (1091219856203).

12002121122101 is a wasteful number, since it uses less digits than its factorization.

12002121122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828011.

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

Adding to 12002121122101 its reverse (10122112120021), we get a palindrome (22124233242122).

The spelling of 12002121122101 in words is "twelve trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".