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100221111020101 is a prime number
BaseRepresentation
bin10110110010011010001011…
…101110001010101001000101
3111010212001012112201011002111
4112302122023232022221011
5101114010313410120401
6553052535351141021
730052510362614641
oct2662321356125105
9433761175634074
10100221111020101
1129a2a597459225
12b2a7633374771
1343bca6c07b696
141aa6a28985c21
15b8beab2c0e51
hex5b268bb8aa45

100221111020101 has 2 divisors, whose sum is σ = 100221111020102. Its totient is φ = 100221111020100.

The previous prime is 100221111020089. The next prime is 100221111020117. The reversal of 100221111020101 is 101020111122001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99960603880900 + 260507139201 = 9998030^2 + 510399^2 .

It is an emirp because it is prime and its reverse (101020111122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221111020101 - 27 = 100221111019973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221111020161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110555510050 + 50110555510051.

It is an arithmetic number, because the mean of its divisors is an integer number (50110555510051).

Almost surely, 2100221111020101 is an apocalyptic number.

It is an amenable number.

100221111020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221111020101 is an equidigital number, since it uses as much as digits as its factorization.

100221111020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100221111020101 its reverse (101020111122001), we get a palindrome (201241222142102).

The spelling of 100221111020101 in words is "one hundred trillion, two hundred twenty-one billion, one hundred eleven million, twenty thousand, one hundred one".