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1001101021 is a prime number
BaseRepresentation
bin111011101010111…
…001011011011101
32120202202012102121
4323222321123131
54022240213041
6243201022541
733544134604
oct7352713335
92522665377
101001101021
11474106018
1223b324a51
1312c53438b
1496d56a3b
155cd4c7d1
hex3bab96dd

1001101021 has 2 divisors, whose sum is σ = 1001101022. Its totient is φ = 1001101020.

The previous prime is 1001100983. The next prime is 1001101033. The reversal of 1001101021 is 1201011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 887444100 + 113656921 = 29790^2 + 10661^2 .

It is an emirp because it is prime and its reverse (1201011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001101021 - 227 = 866883293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001100995 and 1001101013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001101121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550510 + 500550511.

It is an arithmetic number, because the mean of its divisors is an integer number (500550511).

Almost surely, 21001101021 is an apocalyptic number.

It is an amenable number.

1001101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101021 is an equidigital number, since it uses as much as digits as its factorization.

1001101021 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.

The square root of 1001101021 is about 31640.1804830503. The cubic root of 1001101021 is about 1000.3668723882.

Adding to 1001101021 its reverse (1201011001), we get a palindrome (2202112022).

The spelling of 1001101021 in words is "one billion, one million, one hundred one thousand, twenty-one".