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10222120921 is a prime number
BaseRepresentation
bin10011000010100100…
…10010111111011001
3222101101201112202011
421201102102333121
5131413330332141
64410155305521
7511212410545
oct114122227731
928341645664
1010222120921
114376136821
121b9344b2a1
13c6ba1b37c
146cd862a25
153ec636881
hex261492fd9

10222120921 has 2 divisors, whose sum is σ = 10222120922. Its totient is φ = 10222120920.

The previous prime is 10222120891. The next prime is 10222120939. The reversal of 10222120921 is 12902122201.

10222120921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10209081600 + 13039321 = 101040^2 + 3611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222120921 - 231 = 8074637273 is a prime.

It is a super-2 number, since 2×102221209212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222120892 and 10222120901.

It is not a weakly prime, because it can be changed into another prime (10222120991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111060460 + 5111060461.

It is an arithmetic number, because the mean of its divisors is an integer number (5111060461).

Almost surely, 210222120921 is an apocalyptic number.

It is an amenable number.

10222120921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222120921 is an equidigital number, since it uses as much as digits as its factorization.

10222120921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10222120921 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, nine hundred twenty-one".