10212313010002 has 24 divisors (see below), whose sum is σ = 16669452813300. Its totient is φ = 4688579850240.

The previous prime is 10212313009979. The next prime is 10212313010057. The reversal of 10212313010002 is 20001031321201.

It can be written as a sum of positive squares in 6 ways, for example, as 2440378233241 + 7771934776761 = 1562171^2 + 2787819^2 .

It is a super-3 number, since 3×10212313010002³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215444127 + ... + 215491522.

Almost surely, 2^{10212313010002} is an apocalyptic number.

10212313010002 is a deficient number, since it is larger than the sum of its proper divisors (6457139803298).

10212313010002 is a wasteful number, since it uses less digits than its factorization.

10212313010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430935726 (or 430935709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10212313010002 its reverse (20001031321201), we get a palindrome (30213344331203).

The spelling of 10212313010002 in words is "ten trillion, two hundred twelve billion, three hundred thirteen million, ten thousand, two".