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2000110101221 is a prime number
BaseRepresentation
bin11101000110101111110…
…110100010001011100101
321002012122010000120110002
4131012233312202023211
5230232211141214341
64130500552511045
7264334410230621
oct35065766421345
97065563016402
102000110101221
11701273011531
122837749ab485
131167c030381b
146cb3d350181
15370629ca29b
hex1d1afda22e5

2000110101221 has 2 divisors, whose sum is σ = 2000110101222. Its totient is φ = 2000110101220.

The previous prime is 2000110101179. The next prime is 2000110101233. The reversal of 2000110101221 is 1221010110002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1961719576996 + 38390524225 = 1400614^2 + 195935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000110101221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000110104221) 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, 1000055050610 + 1000055050611.

It is an arithmetic number, because the mean of its divisors is an integer number (1000055050611).

Almost surely, 22000110101221 is an apocalyptic number.

It is an amenable number.

2000110101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000110101221 is an equidigital number, since it uses as much as digits as its factorization.

2000110101221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2000110101221 its reverse (1221010110002), we get a palindrome (3221120211223).

The spelling of 2000110101221 in words is "two trillion, one hundred ten million, one hundred one thousand, two hundred twenty-one".