Search a number
-
+
1002211200101 is a prime number
BaseRepresentation
bin11101001010110000111…
…00010100110001100101
310112210212211012000210002
432211120130110301211
5112410012031400401
62044224240111045
7132256504433366
oct16453034246145
93483784160702
101002211200101
113570431052a1
1214229a605485
137367b41c077
1436715d9bb6d
151b10a946a6b
hexe958714c65

1002211200101 has 2 divisors, whose sum is σ = 1002211200102. Its totient is φ = 1002211200100.

The previous prime is 1002211200097. The next prime is 1002211200113. The reversal of 1002211200101 is 1010021122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 697435435876 + 304775764225 = 835126^2 + 552065^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002211200101 - 22 = 1002211200097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002211200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501105600050 + 501105600051.

It is an arithmetic number, because the mean of its divisors is an integer number (501105600051).

Almost surely, 21002211200101 is an apocalyptic number.

It is an amenable number.

1002211200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002211200101 is an equidigital number, since it uses as much as digits as its factorization.

1002211200101 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 11.

Adding to 1002211200101 its reverse (1010021122001), we get a palindrome (2012232322102).

The spelling of 1002211200101 in words is "one trillion, two billion, two hundred eleven million, two hundred thousand, one hundred one".