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20221121011001 is a prime number
BaseRepresentation
bin1001001100100000110001…
…01111000001110100111001
32122121010020200122201101212
410212100120233001310321
510122300323434323001
6111001242120452505
74154633141425301
oct446203057016471
978533220581355
1020221121011001
116496802713429
122326ba461a135
13b38ac7306b51
144dc9c9472601
15250ee76ac7bb
hex126418bc1d39

20221121011001 has 2 divisors, whose sum is σ = 20221121011002. Its totient is φ = 20221121011000.

The previous prime is 20221121010931. The next prime is 20221121011031. The reversal of 20221121011001 is 10011012112202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10395723577600 + 9825397433401 = 3224240^2 + 3134549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20221121011001 is a prime.

It is a super-2 number, since 2×202211210110012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20221121011031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10110560505500 + 10110560505501.

It is an arithmetic number, because the mean of its divisors is an integer number (10110560505501).

Almost surely, 220221121011001 is an apocalyptic number.

It is an amenable number.

20221121011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221121011001 is an equidigital number, since it uses as much as digits as its factorization.

20221121011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20221121011001 its reverse (10011012112202), we get a palindrome (30232133123203).

The spelling of 20221121011001 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, eleven thousand, one".