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1021210012001 is a prime number
BaseRepresentation
bin11101101110001001101…
…11000010100101100001
310121121220212210200011002
432313010313002211201
5113212414230341001
62101045402401345
7133531351610504
oct16670467024541
93547825720132
101021210012001
11364102479933
12145b01200255
13753b8561aba
14375d930713b
151b86d84946b
hexedc4dc2961

1021210012001 has 2 divisors, whose sum is σ = 1021210012002. Its totient is φ = 1021210012000.

The previous prime is 1021210011979. The next prime is 1021210012003. The reversal of 1021210012001 is 1002100121201.

1021210012001 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., 888221427025 + 132988584976 = 942455^2 + 364676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021210012001 - 26 = 1021210011937 is a prime.

It is a super-2 number, since 2×10212100120012 (a number of 25 digits) contains 22 as substring.

Together with 1021210012003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1021210012003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510605006000 + 510605006001.

It is an arithmetic number, because the mean of its divisors is an integer number (510605006001).

Almost surely, 21021210012001 is an apocalyptic number.

It is an amenable number.

1021210012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021210012001 is an equidigital number, since it uses as much as digits as its factorization.

1021210012001 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 11.

Adding to 1021210012001 its reverse (1002100121201), we get a palindrome (2023310133202).

The spelling of 1021210012001 in words is "one trillion, twenty-one billion, two hundred ten million, twelve thousand, one".