10002122112001 has 8 divisors (see below), whose sum is σ = 10550168799680. Its totient is φ = 9456237345168.

The previous prime is 10002122111983. The next prime is 10002122112023. The reversal of 10002122112001 is 10021122120001.

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 10002122112001 - 2⁹ = 10002122111489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002122113001) 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, 540470706 + ... + 540489211.

It is an arithmetic number, because the mean of its divisors is an integer number (1318771099960).

Almost surely, 2^{10002122112001} is an apocalyptic number.

It is an amenable number.

10002122112001 is a deficient number, since it is larger than the sum of its proper divisors (548046687679).

10002122112001 is a wasteful number, since it uses less digits than its factorization.

10002122112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080960423.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002122112001 its reverse (10021122120001), we get a palindrome (20023244232002).

The spelling of 10002122112001 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, one".