101200102013 has 2 divisors, whose sum is σ = 101200102014. Its totient is φ = 101200102012.

The previous prime is 101200101943. The next prime is 101200102049. The reversal of 101200102013 is 310201002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100385684569 + 814417444 = 316837^2 + 28538^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101200102013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200101985 and 101200102003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200102063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600051006 + 50600051007.

It is an arithmetic number, because the mean of its divisors is an integer number (50600051007).

Almost surely, 2^101200102013 is an apocalyptic number.

It is an amenable number.

101200102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200102013 is an equidigital number, since it uses as much as digits as its factorization.

101200102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101200102013 its reverse (310201002101), we get a palindrome (411401104114).

The spelling of 101200102013 in words is "one hundred one billion, two hundred million, one hundred two thousand, thirteen".