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100101100011109 is a prime number
BaseRepresentation
bin10110110000101010011010…
…100000011111111001100101
3111010102120102202211020002121
4112300222122200133321211
5101110024023100323414
6552521451022505541
730041031401101231
oct2660523240377145
9433376382736077
10100101100011109
112999370236496a
12b28831ba352b1
1343b165480b422
141aa0cc1db55c1
15b88cd5393724
hex5b0a9a81fe65

100101100011109 has 2 divisors, whose sum is σ = 100101100011110. Its totient is φ = 100101100011108.

The previous prime is 100101100011091. The next prime is 100101100011113. The reversal of 100101100011109 is 901110001101001.

Together with previous prime (100101100011091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90156506226084 + 9944593785025 = 9495078^2 + 3153505^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100011109 - 27 = 100101100010981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101100011092 and 100101100011101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101100011149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550005554 + 50050550005555.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550005555).

Almost surely, 2100101100011109 is an apocalyptic number.

It is an amenable number.

100101100011109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100011109 is an equidigital number, since it uses as much as digits as its factorization.

100101100011109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100101100011109 in words is "one hundred trillion, one hundred one billion, one hundred million, eleven thousand, one hundred nine".