1020201013121 has 2 divisors, whose sum is σ = 1020201013122. Its totient is φ = 1020201013120.

The previous prime is 1020201013081. The next prime is 1020201013133. The reversal of 1020201013121 is 1213101020201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1019988903025 + 212110096 = 1009945^2 + 14564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020201013121 is a prime.

It is a super-2 number, since 2×1020201013121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020201013096 and 1020201013105.

It is not a weakly prime, because it can be changed into another prime (1020201013171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510100506560 + 510100506561.

It is an arithmetic number, because the mean of its divisors is an integer number (510100506561).

Almost surely, 2^{1020201013121} is an apocalyptic number.

It is an amenable number.

1020201013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020201013121 is an equidigital number, since it uses as much as digits as its factorization.

1020201013121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1020201013121 its reverse (1213101020201), we get a palindrome (2233302033322).

The spelling of 1020201013121 in words is "one trillion, twenty billion, two hundred one million, thirteen thousand, one hundred twenty-one".