21075761446101 has 16 divisors (see below), whose sum is σ = 31239967369600. Its totient is φ = 14043029945184.

The previous prime is 21075761446001. The next prime is 21075761446171. The reversal of 21075761446101 is 10164416757012.

21075761446101 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 576 + 14 + 4 + 61 + 0 + 1 = 666.

It is not a de Polignac number, because 21075761446101 - 2⁹ = 21075761445589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21075761446171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207661816 + ... + 207763281.

It is an arithmetic number, because the mean of its divisors is an integer number (1952497960600).

Almost surely, 2^{21075761446101} is an apocalyptic number.

It is an amenable number.

21075761446101 is a deficient number, since it is larger than the sum of its proper divisors (10164205923499).

21075761446101 is a wasteful number, since it uses less digits than its factorization.

21075761446101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415426985 (or 415426979 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 21075761446101 in words is "twenty-one trillion, seventy-five billion, seven hundred sixty-one million, four hundred forty-six thousand, one hundred one".