101121201010013 has 2 divisors, whose sum is σ = 101121201010014. Its totient is φ = 101121201010012.

The previous prime is 101121201010001. The next prime is 101121201010019. The reversal of 101121201010013 is 310010102121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54144255125284 + 46976945884729 = 7358278^2 + 6853973^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201010013 - 2⁴² = 96723154498909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101121201010013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121201010019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600505006 + 50560600505007.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600505007).

Almost surely, 2^{101121201010013} is an apocalyptic number.

It is an amenable number.

101121201010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201010013 is an equidigital number, since it uses as much as digits as its factorization.

101121201010013 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 14.

Adding to 101121201010013 its reverse (310010102121101), we get a palindrome (411131303131114).

The spelling of 101121201010013 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, ten thousand, thirteen".