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202100210120101 is a prime number
BaseRepresentation
bin101101111100111100011111…
…001110111011010110100101
3222111120120222010111110101011
4231330330133032323112211
5202442202212242320401
61553455315501102221
760366154415635246
oct5574743716732645
9874516863443334
10202100210120101
1159439243964607
121a80045b557971
13889cc77a213b7
1437c99b93ccccd
15185715495e451
hexb7cf1f3bb5a5

202100210120101 has 2 divisors, whose sum is σ = 202100210120102. Its totient is φ = 202100210120100.

The previous prime is 202100210120077. The next prime is 202100210120119. The reversal of 202100210120101 is 101021012001202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198751771264225 + 3348438855876 = 14097935^2 + 1829874^2 .

It is a cyclic number.

It is not a de Polignac number, because 202100210120101 - 225 = 202100176565669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202100210120701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101050105060050 + 101050105060051.

It is an arithmetic number, because the mean of its divisors is an integer number (101050105060051).

Almost surely, 2202100210120101 is an apocalyptic number.

It is an amenable number.

202100210120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202100210120101 is an equidigital number, since it uses as much as digits as its factorization.

202100210120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202100210120101 its reverse (101021012001202), we get a palindrome (303121222121303).

The spelling of 202100210120101 in words is "two hundred two trillion, one hundred billion, two hundred ten million, one hundred twenty thousand, one hundred one".