1022101121 has 2 divisors, whose sum is σ = 1022101122. Its totient is φ = 1022101120.

The previous prime is 1022101109. The next prime is 1022101123. The reversal of 1022101121 is 1211012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002608896 + 19492225 = 31664^2 + 4415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1022101121 is a prime.

It is a super-3 number, since 3×1022101121³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 1022101123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1022101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050560 + 511050561.

It is an arithmetic number, because the mean of its divisors is an integer number (511050561).

Almost surely, 2^1022101121 is an apocalyptic number.

It is an amenable number.

1022101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022101121 is an equidigital number, since it uses as much as digits as its factorization.

1022101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1022101121 is about 31970.3162480448. The cubic root of 1022101121 is about 1007.3134237770.

Adding to 1022101121 its reverse (1211012201), we get a palindrome (2233113322).

The spelling of 1022101121 in words is "one billion, twenty-two million, one hundred one thousand, one hundred twenty-one".