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2001202110101 is a prime number
BaseRepresentation
bin11101000111110000111…
…100001101111010010101
321002022110012211101000102
4131013300330031322111
5230241430220010401
64131201202223445
7264403440162155
oct35076074157225
97068405741012
102001202110101
11701783468a07
12283a1a654b85
1311693561711c
146cc043ac765
15370c87d356b
hex1d1f0f0de95

2001202110101 has 2 divisors, whose sum is σ = 2001202110102. Its totient is φ = 2001202110100.

The previous prime is 2001202110091. The next prime is 2001202110119. The reversal of 2001202110101 is 1010112021002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1986591586225 + 14610523876 = 1409465^2 + 120874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001202110101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001202110191) 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, 1000601055050 + 1000601055051.

It is an arithmetic number, because the mean of its divisors is an integer number (1000601055051).

Almost surely, 22001202110101 is an apocalyptic number.

It is an amenable number.

2001202110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001202110101 is an equidigital number, since it uses as much as digits as its factorization.

2001202110101 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 2001202110101 its reverse (1010112021002), we get a palindrome (3011314131103).

The spelling of 2001202110101 in words is "two trillion, one billion, two hundred two million, one hundred ten thousand, one hundred one".