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12121010101 = 101389308509
BaseRepresentation
bin10110100100111011…
…11110111110110101
31011021201211010000001
423102131332332311
5144310434310401
65322431151301
7606240612604
oct132235767665
934251733001
1012121010101
11515aaa3322
122423375531
1311b2253435
1482db1ba3b
154ae1c5601
hex2d277efb5

12121010101 has 8 divisors (see below), whose sum is σ = 12272527800. Its totient is φ = 11970110400.

The previous prime is 12121010087. The next prime is 12121010107. The reversal of 12121010101 is 10101012121.

12121010101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 7434923076 + 4686087025 = 86226^2 + 68455^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121010101 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114966 + ... + 193543.

It is an arithmetic number, because the mean of its divisors is an integer number (1534065975).

Almost surely, 212121010101 is an apocalyptic number.

It is an amenable number.

12121010101 is a deficient number, since it is larger than the sum of its proper divisors (151517699).

12121010101 is a wasteful number, since it uses less digits than its factorization.

12121010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308999.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12121010101 its reverse (10101012121), we get a palindrome (22222022222).

The spelling of 12121010101 in words is "twelve billion, one hundred twenty-one million, ten thousand, one hundred one".

Divisors: 1 101 389 39289 308509 31159409 120010001 12121010101