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12212011102001 is a prime number
BaseRepresentation
bin1011000110110101010010…
…0101010110111100110001
31121020110100001100222201112
42301231110211112330301
53100040144320231001
641550042003443105
72400201006442424
oct261552445267461
947213301328645
1012212011102001
1139890a299a787
121452929986495
136a778425c8b9
143030c8d6b9bb
151629e0aa9cbb
hexb1b54956f31

12212011102001 has 2 divisors, whose sum is σ = 12212011102002. Its totient is φ = 12212011102000.

The previous prime is 12212011101991. The next prime is 12212011102013. The reversal of 12212011102001 is 10020111021221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10332367360000 + 1879643742001 = 3214400^2 + 1371001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212011102001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12212011102601) 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 as a sum of consecutive naturals, namely, 6106005551000 + 6106005551001.

It is an arithmetic number, because the mean of its divisors is an integer number (6106005551001).

Almost surely, 212212011102001 is an apocalyptic number.

It is an amenable number.

12212011102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212011102001 is an equidigital number, since it uses as much as digits as its factorization.

12212011102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12212011102001 its reverse (10020111021221), we get a palindrome (22232122123222).

The spelling of 12212011102001 in words is "twelve trillion, two hundred twelve billion, eleven million, one hundred two thousand, one".