10212333321201 has 96 divisors (see below), whose sum is σ = 15593091010560. Its totient is φ = 5888914080000.

The previous prime is 10212333321163. The next prime is 10212333321209.

10212333321201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10212333321201 - 2¹⁰ = 10212333320177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212333321209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2177003266 + ... + 2177007956.

It is an arithmetic number, because the mean of its divisors is an integer number (162428031360).

Almost surely, 2^{10212333321201} is an apocalyptic number.

10212333321201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212333321201 is a deficient number, since it is larger than the sum of its proper divisors (5380757689359).

10212333321201 is a wasteful number, since it uses less digits than its factorization.

10212333321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1021233 and 3321201, that added together give a palindrome (4342434).

The spelling of 10212333321201 in words is "ten trillion, two hundred twelve billion, three hundred thirty-three million, three hundred twenty-one thousand, two hundred one".