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1000011032101 is a prime number
BaseRepresentation
bin11101000110101010100…
…11010110011000100101
310112121012111011220200101
432203111103112120211
5112341010311011401
62043222042544101
7132151130344414
oct16432523263045
93477174156611
101000011032101
11356114180534
12141985808031
13733ba65c103
1436587ab947b
151b02c6e5101
hexe8d54d6625

1000011032101 has 2 divisors, whose sum is σ = 1000011032102. Its totient is φ = 1000011032100.

The previous prime is 1000011032089. The next prime is 1000011032173. The reversal of 1000011032101 is 1012301100001.

1000011032101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999998000001 + 13032100 = 999999^2 + 3610^2 .

It is an emirp because it is prime and its reverse (1012301100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000011032101 - 233 = 991421097509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000011032401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005516050 + 500005516051.

It is an arithmetic number, because the mean of its divisors is an integer number (500005516051).

Almost surely, 21000011032101 is an apocalyptic number.

It is an amenable number.

1000011032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000011032101 is an equidigital number, since it uses as much as digits as its factorization.

1000011032101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1000011032101 its reverse (1012301100001), we get a palindrome (2012312132102).

The spelling of 1000011032101 in words is "one trillion, eleven million, thirty-two thousand, one hundred one".