10212221456253 has 12 divisors (see below), whose sum is σ = 15259641256860. Its totient is φ = 6573383925696.

The previous prime is 10212221456251. The next prime is 10212221456267. The reversal of 10212221456253 is 35265412221201.

10212221456253 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 2 + 21 + 4 + 5 + 625 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4919359869369 + 5292861586884 = 2217963^2 + 2300622^2 .

It is not a de Polignac number, because 10212221456253 - 2¹ = 10212221456251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212221456251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19563642376 + ... + 19563642897.

It is an arithmetic number, because the mean of its divisors is an integer number (1271636771405).

Almost surely, 2^{10212221456253} is an apocalyptic number.

It is an amenable number.

10212221456253 is a deficient number, since it is larger than the sum of its proper divisors (5047419800607).

10212221456253 is a wasteful number, since it uses less digits than its factorization.

10212221456253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39127285308 (or 39127285305 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10212221456253 its reverse (35265412221201), we get a palindrome (45477633677454).

The spelling of 10212221456253 in words is "ten trillion, two hundred twelve billion, two hundred twenty-one million, four hundred fifty-six thousand, two hundred fifty-three".