10002121020211 has 4 divisors (see below), whose sum is σ = 10037464204312. Its totient is φ = 9966777836112.

The previous prime is 10002121020181. The next prime is 10002121020253. The reversal of 10002121020211 is 11202012120001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10002121020211 - 2²⁹ = 10001584149299 is a prime.

It is a super-3 number, since 3×10002121020211³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002121020191 and 10002121020200.

It is not an unprimeable number, because it can be changed into a prime (10002121020271) 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 3 ways as a sum of consecutive naturals, for example, 17671591626 + ... + 17671592191.

It is an arithmetic number, because the mean of its divisors is an integer number (2509366051078).

Almost surely, 2^{10002121020211} is an apocalyptic number.

10002121020211 is a deficient number, since it is larger than the sum of its proper divisors (35343184101).

10002121020211 is an equidigital number, since it uses as much as digits as its factorization.

10002121020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35343184100.

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

Adding to 10002121020211 its reverse (11202012120001), we get a palindrome (21204133140212).

The spelling of 10002121020211 in words is "ten trillion, two billion, one hundred twenty-one million, twenty thousand, two hundred eleven".