20101200101 has 2 divisors, whose sum is σ = 20101200102. Its totient is φ = 20101200100.

The previous prime is 20101200089. The next prime is 20101200103. The reversal of 20101200101 is 10100210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13741935076 + 6359265025 = 117226^2 + 79745^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101200101 - 2³⁰ = 19027458277 is a prime.

Together with 20101200103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101200103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050600050 + 10050600051.

It is an arithmetic number, because the mean of its divisors is an integer number (10050600051).

Almost surely, 2^20101200101 is an apocalyptic number.

It is an amenable number.

20101200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101200101 is an equidigital number, since it uses as much as digits as its factorization.

20101200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20101200101 its reverse (10100210102), we get a palindrome (30201410203).

The spelling of 20101200101 in words is "twenty billion, one hundred one million, two hundred thousand, one hundred one".