20001008101 has 2 divisors, whose sum is σ = 20001008102. Its totient is φ = 20001008100.

The previous prime is 20001008087. The next prime is 20001008117. The reversal of 20001008101 is 10180010002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19810844001 + 190164100 = 140751^2 + 13790^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001008101 - 2⁹ = 20001007589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20001008191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000504050 + 10000504051.

It is an arithmetic number, because the mean of its divisors is an integer number (10000504051).

Almost surely, 2^20001008101 is an apocalyptic number.

It is an amenable number.

20001008101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001008101 is an equidigital number, since it uses as much as digits as its factorization.

20001008101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20001008101 its reverse (10180010002), we get a palindrome (30181018103).

It can be divided in two parts, 2000 and 1008101, that added together give a palindrome (1010101).

The spelling of 20001008101 in words is "twenty billion, one million, eight thousand, one hundred one".