10002120020211 has 16 divisors (see below), whose sum is σ = 14548610476800. Its totient is φ = 6061860810720.

The previous prime is 10002120020059. The next prime is 10002120020261. The reversal of 10002120020211 is 11202002120001.

10002120020211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002120020211 - 2¹⁹ = 10002119495923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002120020261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7266565 + ... + 8532713.

It is an arithmetic number, because the mean of its divisors is an integer number (909288154800).

Almost surely, 2^{10002120020211} is an apocalyptic number.

10002120020211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002120020211 is a deficient number, since it is larger than the sum of its proper divisors (4546490456589).

10002120020211 is a wasteful number, since it uses less digits than its factorization.

10002120020211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505546.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002120020211 its reverse (11202002120001), we get a palindrome (21204122140212).

The spelling of 10002120020211 in words is "ten trillion, two billion, one hundred twenty million, twenty thousand, two hundred eleven".