4013202012101 has 2 divisors, whose sum is σ = 4013202012102. Its totient is φ = 4013202012100.

The previous prime is 4013202012077. The next prime is 4013202012143. The reversal of 4013202012101 is 1012102023104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3024987084001 + 988214928100 = 1739249^2 + 994090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4013202012101 is a prime.

It is a super-2 number, since 2×4013202012101² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013202012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4013202012601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006601006050 + 2006601006051.

It is an arithmetic number, because the mean of its divisors is an integer number (2006601006051).

Almost surely, 2^{4013202012101} is an apocalyptic number.

It is an amenable number.

4013202012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013202012101 is an equidigital number, since it uses as much as digits as its factorization.

4013202012101 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 17.

Adding to 4013202012101 its reverse (1012102023104), we get a palindrome (5025304035205).

The spelling of 4013202012101 in words is "four trillion, thirteen billion, two hundred two million, twelve thousand, one hundred one".