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202102122000001 is a prime number
BaseRepresentation
bin101101111100111110010001…
…001100001010111010000001
3222111120202220101001000112211
4231330332101030022322001
5202442220121213000001
61553500233315222121
760366252662434156
oct5574762114127201
9874522811030484
10202102122000001
115943a035094243
121a8008b38a7941
1388a01c0b54392
1437c9b1b2aa22d
151857217717351
hexb7cf9130ae81

202102122000001 has 2 divisors, whose sum is σ = 202102122000002. Its totient is φ = 202102122000000.

The previous prime is 202102121999929. The next prime is 202102122000029. The reversal of 202102122000001 is 100000221201202.

It is a happy number.

202102122000001 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., 118359930042225 + 83742191957776 = 10879335^2 + 9151076^2 .

It is a cyclic number.

It is not a de Polignac number, because 202102122000001 - 223 = 202102113611393 is a prime.

It is not a weakly prime, because it can be changed into another prime (202102122060001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101051061000000 + 101051061000001.

It is an arithmetic number, because the mean of its divisors is an integer number (101051061000001).

Almost surely, 2202102122000001 is an apocalyptic number.

It is an amenable number.

202102122000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202102122000001 is an equidigital number, since it uses as much as digits as its factorization.

202102122000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202102122000001 its reverse (100000221201202), we get a palindrome (302102343201203).

The spelling of 202102122000001 in words is "two hundred two trillion, one hundred two billion, one hundred twenty-two million, one", and thus it is an aban number.