10212824454001 has 27 divisors (see below), whose sum is σ = 11109971508609. Its totient is φ = 9383849840352.

The previous prime is 10212824453989. The next prime is 10212824454031. The reversal of 10212824454001 is 10045442821201.

The square root of 10212824454001 is 3195751.

It is a perfect power (a square), and thus also a powerful number.

10212824454001 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 4 ways, for example, as 261070924401 + 9951753529600 = 510951^2 + 3154640^2 .

It is not a de Polignac number, because 10212824454001 - 2¹³ = 10212824445809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212824454031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12172615140 + ... + 12172615978.

Almost surely, 2^{10212824454001} is an apocalyptic number.

10212824454001 is the 3195751-st square number.

10212824454001 is the 1597876-th centered octagonal number.

It is an amenable number.

10212824454001 is a deficient number, since it is larger than the sum of its proper divisors (897147054608).

10212824454001 is an frugal number, since it uses more digits than its factorization.

10212824454001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 10212824454001 in words is "ten trillion, two hundred twelve billion, eight hundred twenty-four million, four hundred fifty-four thousand, one".