10002120222001 has 8 divisors (see below), whose sum is σ = 10004853172608. Its totient is φ = 9999387522000.

The previous prime is 10002120221993. The next prime is 10002120222013. The reversal of 10002120222001 is 10022202120001.

It is a happy number.

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 10002120222001 - 2³ = 10002120221993 is a prime.

It is a super-2 number, since 2×10002120222001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002120222091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101370471 + ... + 101469091.

It is an arithmetic number, because the mean of its divisors is an integer number (1250606646576).

Almost surely, 2^{10002120222001} is an apocalyptic number.

It is an amenable number.

10002120222001 is a deficient number, since it is larger than the sum of its proper divisors (2732950607).

10002120222001 is an equidigital number, since it uses as much as digits as its factorization.

10002120222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125303.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002120222001 its reverse (10022202120001), we get a palindrome (20024322342002).

The spelling of 10002120222001 in words is "ten trillion, two billion, one hundred twenty million, two hundred twenty-two thousand, one".