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101110021009 is a prime number
BaseRepresentation
bin101111000101010100…
…0000111101110010001
3100122222112100020210221
41132022220013232101
53124033131133014
6114241014353041
710206412666234
oct1361250075621
9318875306727
10101110021009
1139975a75338
121771965b781
1396c478b6ca
144c7264b41b
15296b8eeb24
hex178aa07b91

101110021009 has 2 divisors, whose sum is σ = 101110021010. Its totient is φ = 101110021008.

The previous prime is 101110021003. The next prime is 101110021063. The reversal of 101110021009 is 900120011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95292603025 + 5817417984 = 308695^2 + 76272^2 .

It is an emirp because it is prime and its reverse (900120011101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101110021009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110020983 and 101110021001.

It is not a weakly prime, because it can be changed into another prime (101110021003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555010504 + 50555010505.

It is an arithmetic number, because the mean of its divisors is an integer number (50555010505).

Almost surely, 2101110021009 is an apocalyptic number.

It is an amenable number.

101110021009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110021009 is an equidigital number, since it uses as much as digits as its factorization.

101110021009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 101110021009 in words is "one hundred one billion, one hundred ten million, twenty-one thousand, nine".