10211846921253 has 20 divisors (see below), whose sum is σ = 15780759613740. Its totient is φ = 6573142844352.

The previous prime is 10211846921219. The next prime is 10211846921323. The reversal of 10211846921253 is 35212964811201.

10211846921253 is a `hidden beast` number, since 1 + 0 + 2 + 118 + 469 + 21 + 2 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8158466827809 + 2053380093444 = 2856303^2 + 1432962^2 .

It is not a de Polignac number, because 10211846921253 - 2¹² = 10211846917157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10211846921199 and 10211846921208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211846921753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2173656000 + ... + 2173660697.

It is an arithmetic number, because the mean of its divisors is an integer number (789037980687).

Almost surely, 2^{10211846921253} is an apocalyptic number.

It is an amenable number.

10211846921253 is a deficient number, since it is larger than the sum of its proper divisors (5568912692487).

10211846921253 is an equidigital number, since it uses as much as digits as its factorization.

10211846921253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347316738 (or 4347316729 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10211846921253 in words is "ten trillion, two hundred eleven billion, eight hundred forty-six million, nine hundred twenty-one thousand, two hundred fifty-three".