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10022121121021 is a prime number
BaseRepresentation
bin1001000111010111010011…
…1110000010010011111101
31022111002211212000122002221
42101311310332002103331
52303200301001333041
633152033205245341
72053034334643432
oct221656476022375
938432755018087
1010022121121021
1132143a3107719
12115a430103851
1357910b107749
14269104ddbb89
15125a71ee92d1
hex91d74f824fd

10022121121021 has 2 divisors, whose sum is σ = 10022121121022. Its totient is φ = 10022121121020.

The previous prime is 10022121120953. The next prime is 10022121121031. The reversal of 10022121121021 is 12012112122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10022068035225 + 53085796 = 3165765^2 + 7286^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022121121021 is a prime.

It is a super-3 number, since 3×100221211210213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022121120986 and 10022121121004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022121121031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011060560510 + 5011060560511.

It is an arithmetic number, because the mean of its divisors is an integer number (5011060560511).

Almost surely, 210022121121021 is an apocalyptic number.

It is an amenable number.

10022121121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022121121021 is an equidigital number, since it uses as much as digits as its factorization.

10022121121021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10022121121021 its reverse (12012112122001), we get a palindrome (22034233243022).

The spelling of 10022121121021 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty-one".