20011110291001 has 2 divisors, whose sum is σ = 20011110291002. Its totient is φ = 20011110291000.

The previous prime is 20011110290989. The next prime is 20011110291023. The reversal of 20011110291001 is 10019201111002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19466414629776 + 544695661225 = 4412076^2 + 738035^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011110291001 - 2⁹ = 20011110290489 is a prime.

It is a super-2 number, since 2×20011110291001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20011110291001.

It is not a weakly prime, because it can be changed into another prime (20011110291031) 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 as a sum of consecutive naturals, namely, 10005555145500 + 10005555145501.

It is an arithmetic number, because the mean of its divisors is an integer number (10005555145501).

Almost surely, 2^{20011110291001} is an apocalyptic number.

It is an amenable number.

20011110291001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011110291001 is an equidigital number, since it uses as much as digits as its factorization.

20011110291001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 20011110291001 in words is "twenty trillion, eleven billion, one hundred ten million, two hundred ninety-one thousand, one".