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2101010211221 is a prime number
BaseRepresentation
bin11110100100101101111…
…101111010000110010101
321102212002000101020111012
4132210231331322012111
5233410332103224341
64245105112222005
7304535664063545
oct36445575720625
97385060336435
102101010211221
11740040544599
1229b23409a905
13123180447a1c
1473991b59325
15399bac640eb
hex1e92df7a195

2101010211221 has 2 divisors, whose sum is σ = 2101010211222. Its totient is φ = 2101010211220.

The previous prime is 2101010211203. The next prime is 2101010211227. The reversal of 2101010211221 is 1221120101012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2051881488721 + 49128722500 = 1432439^2 + 221650^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101010211221 - 238 = 1826132304277 is a prime.

It is a super-2 number, since 2×21010102112212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101010211196 and 2101010211205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101010211227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050505105610 + 1050505105611.

It is an arithmetic number, because the mean of its divisors is an integer number (1050505105611).

Almost surely, 22101010211221 is an apocalyptic number.

It is an amenable number.

2101010211221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101010211221 is an equidigital number, since it uses as much as digits as its factorization.

2101010211221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101010211221 its reverse (1221120101012), we get a palindrome (3322130312233).

The spelling of 2101010211221 in words is "two trillion, one hundred one billion, ten million, two hundred eleven thousand, two hundred twenty-one".