10002101121211 has 8 divisors (see below), whose sum is σ = 10613333582784. Its totient is φ = 9393410167680.

The previous prime is 10002101121167. The next prime is 10002101121241. The reversal of 10002101121211 is 11212110120001.

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 10002101121211 - 2⁷ = 10002101121083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002101121191 and 10002101121200.

It is not an unprimeable number, because it can be changed into a prime (10002101121241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635368900 + ... + 635384641.

It is an arithmetic number, because the mean of its divisors is an integer number (1326666697848).

Almost surely, 2^{10002101121211} is an apocalyptic number.

10002101121211 is a deficient number, since it is larger than the sum of its proper divisors (611232461573).

10002101121211 is a wasteful number, since it uses less digits than its factorization.

10002101121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270754021.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10002101121211 its reverse (11212110120001), we get a palindrome (21214211241212).

The spelling of 10002101121211 in words is "ten trillion, two billion, one hundred one million, one hundred twenty-one thousand, two hundred eleven".