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1001111010101 is a prime number
BaseRepresentation
bin11101001000101101101…
…11011011101100110101
310112201001010222120211022
432210112313123230311
5112400233404310401
62043523135150525
7132220315116356
oct16442667335465
93481033876738
101001111010101
11356629080264
12142032075445
1373534502a77
143664dc0dd2d
151b09407471b
hexe916ddbb35

1001111010101 has 2 divisors, whose sum is σ = 1001111010102. Its totient is φ = 1001111010100.

The previous prime is 1001111010013. The next prime is 1001111010113. The reversal of 1001111010101 is 1010101111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 994427784100 + 6683226001 = 997210^2 + 81751^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001111010101 - 230 = 1000037268277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001111010121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555505050 + 500555505051.

It is an arithmetic number, because the mean of its divisors is an integer number (500555505051).

Almost surely, 21001111010101 is an apocalyptic number.

It is an amenable number.

1001111010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111010101 is an equidigital number, since it uses as much as digits as its factorization.

1001111010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1001111010101 its reverse (1010101111001), we get a palindrome (2011212121102).

The spelling of 1001111010101 in words is "one trillion, one billion, one hundred eleven million, ten thousand, one hundred one".