101020210202113 has 2 divisors, whose sum is σ = 101020210202114. Its totient is φ = 101020210202112.

The previous prime is 101020210202081. The next prime is 101020210202137. The reversal of 101020210202113 is 311202012020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94151449829889 + 6868760372224 = 9703167^2 + 2620832^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020210202113 - 2⁵ = 101020210202081 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020210202183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510105101056 + 50510105101057.

It is an arithmetic number, because the mean of its divisors is an integer number (50510105101057).

Almost surely, 2^{101020210202113} is an apocalyptic number.

It is an amenable number.

101020210202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020210202113 is an equidigital number, since it uses as much as digits as its factorization.

101020210202113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101020210202113 its reverse (311202012020101), we get a palindrome (412222222222214).

The spelling of 101020210202113 in words is "one hundred one trillion, twenty billion, two hundred ten million, two hundred two thousand, one hundred thirteen".