20687101036191 has 12 divisors (see below), whose sum is σ = 29882614726432. Its totient is φ = 13790825354016.

The previous prime is 20687101036157. The next prime is 20687101036223. The reversal of 20687101036191 is 19163010178602.

20687101036191 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 7 + 10 + 10 + 3 + 619 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-20687101036191 is a prime.

It is a super-2 number, since 2×20687101036191² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20687101036111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47716951 + ... + 48148536.

Almost surely, 2^{20687101036191} is an apocalyptic number.

20687101036191 is a deficient number, since it is larger than the sum of its proper divisors (9195513690241).

20687101036191 is a wasteful number, since it uses less digits than its factorization.

20687101036191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95889470 (or 95889467 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 20687101036191 in words is "twenty trillion, six hundred eighty-seven billion, one hundred one million, thirty-six thousand, one hundred ninety-one".