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1020222002101 is a prime number
BaseRepresentation
bin11101101100010011111…
…10000101001110110101
310121112101000200120100211
432312021332011032311
5113203403313031401
62100403350105421
7133465023635251
oct16661176051665
93545330616324
101020222002101
113637457a5425
1214588634b271
137528b962263
1437543ddb261
151b811c35951
hexed89f853b5

1020222002101 has 2 divisors, whose sum is σ = 1020222002102. Its totient is φ = 1020222002100.

The previous prime is 1020222002081. The next prime is 1020222002143. The reversal of 1020222002101 is 1012002220201.

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., 795191310225 + 225030691876 = 891735^2 + 474374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020222002101 - 213 = 1020221993909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020222002801) 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, 510111001050 + 510111001051.

It is an arithmetic number, because the mean of its divisors is an integer number (510111001051).

Almost surely, 21020222002101 is an apocalyptic number.

It is an amenable number.

1020222002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020222002101 is an equidigital number, since it uses as much as digits as its factorization.

1020222002101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1020222002101 its reverse (1012002220201), we get a palindrome (2032224222302).

The spelling of 1020222002101 in words is "one trillion, twenty billion, two hundred twenty-two million, two thousand, one hundred one".