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100100011021 is a prime number
BaseRepresentation
bin101110100111001101…
…1001111010000001101
3100120101010211102120121
41131032123033100031
53120001100323041
6113552454344541
710142400024553
oct1351633172015
9316333742517
10100100011021
11394a793493a
121749735b151
13959345826a
144bb8455bd3
15290cde27d1
hex174e6cf40d

100100011021 has 2 divisors, whose sum is σ = 100100011022. Its totient is φ = 100100011020.

The previous prime is 100100010919. The next prime is 100100011057. The reversal of 100100011021 is 120110001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58341088521 + 41758922500 = 241539^2 + 204350^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100011021 - 27 = 100100010893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100010995 and 100100011013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100011061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005510 + 50050005511.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005511).

Almost surely, 2100100011021 is an apocalyptic number.

It is an amenable number.

100100011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011021 is an equidigital number, since it uses as much as digits as its factorization.

100100011021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100011021 its reverse (120110001001), we get a palindrome (220210012022).

The spelling of 100100011021 in words is "one hundred billion, one hundred million, eleven thousand, twenty-one".