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10122221212141 is a prime number
BaseRepresentation
bin1001001101001100001101…
…1001100101000111101101
31022211200020000000010120011
42103103003121211013231
52311320302112242031
633310030105453221
72063210035453663
oct223230331450755
938750200003504
1010122221212141
11325289aa96755
1211759074a1211
135856a15902ac
1426dcbd474c33
1512847ee056b1
hex934c36651ed

10122221212141 has 2 divisors, whose sum is σ = 10122221212142. Its totient is φ = 10122221212140.

The previous prime is 10122221212139. The next prime is 10122221212231. The reversal of 10122221212141 is 14121212222101.

10122221212141 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., 7936418637225 + 2185802574916 = 2817165^2 + 1478446^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122221212141 - 21 = 10122221212139 is a prime.

Together with 10122221212139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122221218141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061110606070 + 5061110606071.

It is an arithmetic number, because the mean of its divisors is an integer number (5061110606071).

Almost surely, 210122221212141 is an apocalyptic number.

It is an amenable number.

10122221212141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122221212141 is an equidigital number, since it uses as much as digits as its factorization.

10122221212141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10122221212141 its reverse (14121212222101), we get a palindrome (24243433434242).

The spelling of 10122221212141 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred forty-one".