10211221674641 has 48 divisors (see below), whose sum is σ = 11890184831616. Its totient is φ = 8700610609152.

The previous prime is 10211221674611. The next prime is 10211221674659. The reversal of 10211221674641 is 14647612211201.

10211221674641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211221674641 - 2²² = 10211217480337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211221674595 and 10211221674604.

It is not an unprimeable number, because it can be changed into a prime (10211221674601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553954961 + ... + 553973393.

It is an arithmetic number, because the mean of its divisors is an integer number (247712183992).

Almost surely, 2^{10211221674641} is an apocalyptic number.

It is an amenable number.

10211221674641 is a deficient number, since it is larger than the sum of its proper divisors (1678963156975).

10211221674641 is a wasteful number, since it uses less digits than its factorization.

10211221674641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20730 (or 20701 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

Adding to 10211221674641 its reverse (14647612211201), we get a palindrome (24858833885842).

The spelling of 10211221674641 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, six hundred seventy-four thousand, six hundred forty-one".