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200221212102101 is a prime number
BaseRepresentation
bin101101100001100110100010…
…001110010100110111010101
3222020220221221112020011210222
4231201212202032110313111
5202220411020244231401
61545500204404324125
760113335200210011
oct5541464216246725
9866827845204728
10200221212102101
1158884380525843
121a5582669a3645
138794a19126758
143762a88d8b541
15182332e8aac1b
hexb619a2394dd5

200221212102101 has 2 divisors, whose sum is σ = 200221212102102. Its totient is φ = 200221212102100.

The previous prime is 200221212102089. The next prime is 200221212102113. The reversal of 200221212102101 is 101201212122002.

200221212102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (200221212102089) and next prime (200221212102113).

It can be written as a sum of positive squares in only one way, i.e., 187649039235025 + 12572172867076 = 13698505^2 + 3545726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200221212102101 is a prime.

It is a super-2 number, since 2×2002212121021012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200221212102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200221212702101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100110606051050 + 100110606051051.

It is an arithmetic number, because the mean of its divisors is an integer number (100110606051051).

Almost surely, 2200221212102101 is an apocalyptic number.

It is an amenable number.

200221212102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200221212102101 is an equidigital number, since it uses as much as digits as its factorization.

200221212102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200221212102101 its reverse (101201212122002), we get a palindrome (301422424224103).

The spelling of 200221212102101 in words is "two hundred trillion, two hundred twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred one".