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10002021121 is a prime number
BaseRepresentation
bin10010101000010101…
…01011101100000001
3221211001120022120201
421110022223230001
5130441004133441
64332254005201
7502600530301
oct112412535401
927731508521
1010002021121
114272975564
121b317a6801
13c352473c1
146ac52b601
153d815bc31
hex2542abb01

10002021121 has 2 divisors, whose sum is σ = 10002021122. Its totient is φ = 10002021120.

The previous prime is 10002021119. The next prime is 10002021151. The reversal of 10002021121 is 12112020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5455890496 + 4546130625 = 73864^2 + 67425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002021121 - 21 = 10002021119 is a prime.

Together with 10002021119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10002021098 and 10002021107.

It is not a weakly prime, because it can be changed into another prime (10002021151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001010560 + 5001010561.

It is an arithmetic number, because the mean of its divisors is an integer number (5001010561).

Almost surely, 210002021121 is an apocalyptic number.

It is an amenable number.

10002021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002021121 is an equidigital number, since it uses as much as digits as its factorization.

10002021121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002021121 its reverse (12112020001), we get a palindrome (22114041122).

The spelling of 10002021121 in words is "ten billion, two million, twenty-one thousand, one hundred twenty-one".