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10201001212121 is a prime number
BaseRepresentation
bin1001010001110001101100…
…0011011011100011011001
31100010012120022110210011012
42110130123003123203121
52314113122302241441
633410135242343305
72101666214431136
oct224343303334331
940105508423135
1010201001212121
113283247276755
1211890327bab35
1358cc47a1a4b5
14273a3419558d
1512a5412379eb
hex9471b0db8d9

10201001212121 has 2 divisors, whose sum is σ = 10201001212122. Its totient is φ = 10201001212120.

The previous prime is 10201001212117. The next prime is 10201001212151. The reversal of 10201001212121 is 12121210010201.

10201001212121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5461868140096 + 4739133072025 = 2337064^2 + 2176955^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201001212121 - 22 = 10201001212117 is a prime.

It is a super-2 number, since 2×102010012121212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201001212096 and 10201001212105.

It is not a weakly prime, because it can be changed into another prime (10201001212151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100500606060 + 5100500606061.

It is an arithmetic number, because the mean of its divisors is an integer number (5100500606061).

Almost surely, 210201001212121 is an apocalyptic number.

It is an amenable number.

10201001212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201001212121 is an equidigital number, since it uses as much as digits as its factorization.

10201001212121 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 10201001212121 its reverse (12121210010201), we get a palindrome (22322211222322).

The spelling of 10201001212121 in words is "ten trillion, two hundred one billion, one million, two hundred twelve thousand, one hundred twenty-one".