101020202202013 has 2 divisors, whose sum is σ = 101020202202014. Its totient is φ = 101020202202012.

The previous prime is 101020202201999. The next prime is 101020202202061. The reversal of 101020202202013 is 310202202020101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91445652049284 + 9574550152729 = 9562722^2 + 3094277^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020202202013 - 2³⁷ = 100882763248541 is a prime.

It is a super-2 number, since 2×101020202202013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020202202113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510101101006 + 50510101101007.

It is an arithmetic number, because the mean of its divisors is an integer number (50510101101007).

Almost surely, 2^{101020202202013} is an apocalyptic number.

It is an amenable number.

101020202202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020202202013 is an equidigital number, since it uses as much as digits as its factorization.

101020202202013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101020202202013 its reverse (310202202020101), we get a palindrome (411222404222114).

The spelling of 101020202202013 in words is "one hundred one trillion, twenty billion, two hundred two million, two hundred two thousand, thirteen".