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221202012212101 is a prime number
BaseRepresentation
bin110010010010111010011011…
…010111001000101110000101
31002000012201001120010122021201
4302102322123113020232011
5212443133210111241401
62102242445044542501
764410214033506154
oct6222723327105605
91060181046118251
10221202012212101
1164533279195188
12209865223b1a31
13965734c9bc35b
143c8a33d72359b
151a88e8a5d6b01
hexc92e9b5c8b85

221202012212101 has 2 divisors, whose sum is σ = 221202012212102. Its totient is φ = 221202012212100.

The previous prime is 221202012212017. The next prime is 221202012212161. The reversal of 221202012212101 is 101212210202122.

221202012212101 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., 121019228763876 + 100182783448225 = 11000874^2 + 10009135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221202012212101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221202012212161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110601006106050 + 110601006106051.

It is an arithmetic number, because the mean of its divisors is an integer number (110601006106051).

Almost surely, 2221202012212101 is an apocalyptic number.

It is an amenable number.

221202012212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221202012212101 is an equidigital number, since it uses as much as digits as its factorization.

221202012212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221202012212101 its reverse (101212210202122), we get a palindrome (322414222414223).

The spelling of 221202012212101 in words is "two hundred twenty-one trillion, two hundred two billion, twelve million, two hundred twelve thousand, one hundred one".