10202121002312 has 8 divisors (see below), whose sum is σ = 19128976879350. Its totient is φ = 5101060501152.

The previous prime is 10202121002261. The next prime is 10202121002327. The reversal of 10202121002312 is 21320012120201.

10202121002312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8119912406116 + 2082208596196 = 2849546^2 + 1442986^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×10202121002312³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 637632562637 + ... + 637632562652.

Almost surely, 2^{10202121002312} is an apocalyptic number.

It is an amenable number.

10202121002312 is a deficient number, since it is larger than the sum of its proper divisors (8926855877038).

10202121002312 is a wasteful number, since it uses less digits than its factorization.

10202121002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275265125295 (or 1275265125291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10202121002312 its reverse (21320012120201), we get a palindrome (31522133122513).

The spelling of 10202121002312 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two thousand, three hundred twelve".