101200102002101 has 2 divisors, whose sum is σ = 101200102002102. Its totient is φ = 101200102002100.

The previous prime is 101200102002061. The next prime is 101200102002121. The reversal of 101200102002101 is 101200201002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97807174842001 + 3392927160100 = 9889751^2 + 1841990^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200102002101 - 2⁴² = 96802055490997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200102002121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600051001050 + 50600051001051.

It is an arithmetic number, because the mean of its divisors is an integer number (50600051001051).

Almost surely, 2^{101200102002101} is an apocalyptic number.

It is an amenable number.

101200102002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200102002101 is an equidigital number, since it uses as much as digits as its factorization.

101200102002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101200102002101 its reverse (101200201002101), we get a palindrome (202400303004202).

The spelling of 101200102002101 in words is "one hundred one trillion, two hundred billion, one hundred two million, two thousand, one hundred one".