1020101331121 has 2 divisors, whose sum is σ = 1020101331122. Its totient is φ = 1020101331120.

The previous prime is 1020101331097. The next prime is 1020101331163. The reversal of 1020101331121 is 1211331010201.

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., 856328144400 + 163773186721 = 925380^2 + 404689^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020101331121 - 2²¹ = 1020099233969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020101331095 and 1020101331104.

It is not a weakly prime, because it can be changed into another prime (1020101331721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050665560 + 510050665561.

It is an arithmetic number, because the mean of its divisors is an integer number (510050665561).

Almost surely, 2^{1020101331121} is an apocalyptic number.

It is an amenable number.

1020101331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020101331121 is an equidigital number, since it uses as much as digits as its factorization.

1020101331121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1020101331121 its reverse (1211331010201), we get a palindrome (2231432341322).

The spelling of 1020101331121 in words is "one trillion, twenty billion, one hundred one million, three hundred thirty-one thousand, one hundred twenty-one".