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100212102121601 is a prime number
BaseRepresentation
bin10110110010010001110010…
…101111111100100010000001
3111010211011221200212200122002
4112302101302233330202001
5101113333341120342401
6553044445411153345
730052041211342511
oct2662216257744201
9433734850780562
10100212102121601
1129a2679413a468
12b2a593a2a5855
1343bbc64804002
141aa64122d5841
15b8bb30437a6b
hex5b2472bfc881

100212102121601 has 2 divisors, whose sum is σ = 100212102121602. Its totient is φ = 100212102121600.

The previous prime is 100212102121543. The next prime is 100212102121687. The reversal of 100212102121601 is 106121201212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84945733993201 + 15266368128400 = 9216601^2 + 3907220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100212102121601 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212102421601) 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, 50106051060800 + 50106051060801.

It is an arithmetic number, because the mean of its divisors is an integer number (50106051060801).

Almost surely, 2100212102121601 is an apocalyptic number.

It is an amenable number.

100212102121601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212102121601 is an equidigital number, since it uses as much as digits as its factorization.

100212102121601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 100212102121601 its reverse (106121201212001), we get a palindrome (206333303333602).

The spelling of 100212102121601 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, six hundred one".