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100101222200201 is a prime number
BaseRepresentation
bin10110110000101010100001…
…110010100111001110001001
3111010102120202021202002000112
4112300222201302213032021
5101110024300340401301
6552521511105444105
730041034413510525
oct2660524162471611
9433376667662015
10100101222200201
1129993765331392
12b288354940635
1343b1673c20871
141aa0cd4300d85
15b88ce0e7c9bb
hex5b0aa1ca7389

100101222200201 has 2 divisors, whose sum is σ = 100101222200202. Its totient is φ = 100101222200200.

The previous prime is 100101222200171. The next prime is 100101222200269. The reversal of 100101222200201 is 102002222101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62671922233600 + 37429299966601 = 7916560^2 + 6117949^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101222200201 - 26 = 100101222200137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101222200281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050611100100 + 50050611100101.

It is an arithmetic number, because the mean of its divisors is an integer number (50050611100101).

Almost surely, 2100101222200201 is an apocalyptic number.

It is an amenable number.

100101222200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101222200201 is an equidigital number, since it uses as much as digits as its factorization.

100101222200201 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 14.

Adding to 100101222200201 its reverse (102002222101001), we get a palindrome (202103444301202).

The spelling of 100101222200201 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, two hundred thousand, two hundred one".