1020102312121 has 2 divisors, whose sum is σ = 1020102312122. Its totient is φ = 1020102312120.

The previous prime is 1020102312037. The next prime is 1020102312133. The reversal of 1020102312121 is 1212132010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005485502121 + 14616810000 = 1002739^2 + 120900^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020102312121 - 2⁷ = 1020102311993 is a prime.

It is a super-2 number, since 2×1020102312121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020102312095 and 1020102312104.

It is not a weakly prime, because it can be changed into another prime (1020102612121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510051156060 + 510051156061.

It is an arithmetic number, because the mean of its divisors is an integer number (510051156061).

Almost surely, 2^{1020102312121} is an apocalyptic number.

It is an amenable number.

1020102312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020102312121 is an equidigital number, since it uses as much as digits as its factorization.

1020102312121 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 1020102312121 its reverse (1212132010201), we get a palindrome (2232234322322).

The spelling of 1020102312121 in words is "one trillion, twenty billion, one hundred two million, three hundred twelve thousand, one hundred twenty-one".