Search a number
-
+
1000100201021 is a prime number
BaseRepresentation
bin11101000110110101001…
…11100000001000111101
310112121102200222011102222
432203122213200020331
5112341201122413041
62043234550055125
7132153262306205
oct16433247401075
93477380864388
101000100201021
1135615a544459
121419ab64a4a5
1373402c7c99c
143659588b405
151b03545a74b
hexe8da9e023d

1000100201021 has 2 divisors, whose sum is σ = 1000100201022. Its totient is φ = 1000100201020.

The previous prime is 1000100200991. The next prime is 1000100201027. The reversal of 1000100201021 is 1201020010001.

1000100201021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998428617796 + 1671583225 = 999214^2 + 40885^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000100201021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100201027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050100510 + 500050100511.

It is an arithmetic number, because the mean of its divisors is an integer number (500050100511).

Almost surely, 21000100201021 is an apocalyptic number.

It is an amenable number.

1000100201021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100201021 is an equidigital number, since it uses as much as digits as its factorization.

1000100201021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000100201021 its reverse (1201020010001), we get a palindrome (2201120211022).

The spelling of 1000100201021 in words is "one trillion, one hundred million, two hundred one thousand, twenty-one".