20011001000101 has 2 divisors, whose sum is σ = 20011001000102. Its totient is φ = 20011001000100.

The previous prime is 20011001000071. The next prime is 20011001000117. The reversal of 20011001000101 is 10100010011002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19970834827876 + 40166172225 = 4468874^2 + 200415^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011001000101 - 2²⁷ = 20010866782373 is a prime.

It is a super-2 number, since 2×20011001000101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20011001000141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005500500050 + 10005500500051.

It is an arithmetic number, because the mean of its divisors is an integer number (10005500500051).

Almost surely, 2^{20011001000101} is an apocalyptic number.

It is an amenable number.

20011001000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011001000101 is an equidigital number, since it uses as much as digits as its factorization.

20011001000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 20011001000101 its reverse (10100010011002), we get a palindrome (30111011011103).

The spelling of 20011001000101 in words is "twenty trillion, eleven billion, one million, one hundred one", and thus it is an aban number.