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10000212022201 is a prime number
BaseRepresentation
bin1001000110000101101100…
…0101011101001110111001
31022102000021222012002121111
42101201123011131032321
52302320413234202301
633134011201240321
72051330401452652
oct221413305351671
938360258162544
1010000212022201
11320607aa88485
1211561369330a1
1357702906194b
14268027360529
151251dd874551
hex9185b15d3b9

10000212022201 has 2 divisors, whose sum is σ = 10000212022202. Its totient is φ = 10000212022200.

The previous prime is 10000212022147. The next prime is 10000212022217. The reversal of 10000212022201 is 10222021200001.

It is a happy number.

10000212022201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7817867642025 + 2182344380176 = 2796045^2 + 1477276^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000212022201 - 211 = 10000212020153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000212022271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000106011100 + 5000106011101.

It is an arithmetic number, because the mean of its divisors is an integer number (5000106011101).

Almost surely, 210000212022201 is an apocalyptic number.

It is an amenable number.

10000212022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000212022201 is an equidigital number, since it uses as much as digits as its factorization.

10000212022201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10000212022201 its reverse (10222021200001), we get a palindrome (20222233222202).

The spelling of 10000212022201 in words is "ten trillion, two hundred twelve million, twenty-two thousand, two hundred one".